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155414000 = 2453717653
BaseRepresentation
bin10010100001101…
…10110111110000
3101211102211221002
421100312313300
5304241222000
623231021132
73564666020
oct1120666760
9354384832
10155414000
117a7aa925
124406a7a8
1326276261
14168d7a80
15d99d8d5
hex9436df0

155414000 has 160 divisors (see below), whose sum is σ = 455435136. Its totient is φ = 50073600.

The previous prime is 155413991. The next prime is 155414009. The reversal of 155414000 is 414551.

155414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155413991) and next prime (155414009).

It is a super-2 number, since 2×1554140002 = 48307022792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155414009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237674 + ... + 238326.

Almost surely, 2155414000 is an apocalyptic number.

155414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227717568).

155414000 is an abundant number, since it is smaller than the sum of its proper divisors (300021136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155414000 is a wasteful number, since it uses less digits than its factorization.

155414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 155414000 is about 12466.5151505944. The cubic root of 155414000 is about 537.6463636023.

Adding to 155414000 its reverse (414551), we get a palindrome (155828551).

The spelling of 155414000 in words is "one hundred fifty-five million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 653 680 700 850 875 952 1000 1190 1306 1360 1400 1700 1750 1904 2000 2125 2380 2612 2800 2975 3265 3400 3500 4250 4571 4760 5224 5950 6530 6800 7000 8500 9142 9520 10448 11101 11900 13060 14000 14875 16325 17000 18284 22202 22855 23800 26120 29750 32650 34000 36568 44404 45710 47600 52240 55505 59500 65300 73136 77707 81625 88808 91420 111010 114275 119000 130600 155414 163250 177616 182840 222020 228550 238000 261200 277525 310828 326500 365680 388535 444040 457100 555050 571375 621656 653000 777070 888080 914200 1110100 1142750 1243312 1306000 1387625 1554140 1828400 1942675 2220200 2285500 2775250 3108280 3885350 4440400 4571000 5550500 6216560 7770700 9142000 9713375 11101000 15541400 19426750 22202000 31082800 38853500 77707000 155414000