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155214540 = 2232513113587
BaseRepresentation
bin10010100000001…
…10001011001100
3101211001201022200
421100012023030
5304213331130
623222441500
73563205345
oct1120061314
9354051280
10155214540
117a683a88
1243b93290
1326206530
14168850cc
15d95e760
hex94062cc

155214540 has 144 divisors (see below), whose sum is σ = 512392608. Its totient is φ = 37804032.

The previous prime is 155214529. The next prime is 155214541. The reversal of 155214540 is 45412551.

It is a super-4 number, since 4×1552145404 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (155214541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264127 + ... + 264713.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2155214540 is an apocalyptic number.

155214540 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 155214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256196304).

155214540 is an abundant number, since it is smaller than the sum of its proper divisors (357178068).

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

155214540 is a wasteful number, since it uses less digits than its factorization.

155214540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 155214540 is about 12458.5127523312. The cubic root of 155214540 is about 537.4162580913.

The spelling of 155214540 in words is "one hundred fifty-five million, two hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 113 117 130 156 180 195 226 234 260 339 390 452 468 565 585 587 678 780 1017 1130 1170 1174 1356 1469 1695 1761 2034 2260 2340 2348 2935 2938 3390 3522 4068 4407 5085 5283 5870 5876 6780 7044 7345 7631 8805 8814 10170 10566 11740 13221 14690 15262 17610 17628 20340 21132 22035 22893 26415 26442 29380 30524 35220 38155 44070 45786 52830 52884 66105 66331 68679 76310 88140 91572 105660 114465 132210 132662 137358 152620 198993 228930 264420 265324 274716 331655 343395 397986 457860 596979 663310 686790 795972 862303 994965 1193958 1326620 1373580 1724606 1989930 2387916 2586909 2984895 3449212 3979860 4311515 5173818 5969790 7760727 8623030 10347636 11939580 12934545 15521454 17246060 25869090 31042908 38803635 51738180 77607270 155214540