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151054040 = 235291071217
BaseRepresentation
bin10010000000011…
…10011011011000
3101112020100012002
421000032123120
5302132212130
622553340132
73512636534
oct1100163330
9345210162
10151054040
11782a2155
1242707648
13253aa8b7
14160c0bc4
15d3dbb45
hex900e6d8

151054040 has 64 divisors (see below), whose sum is σ = 355168800. Its totient is φ = 57745408.

The previous prime is 151054037. The next prime is 151054049. The reversal of 151054040 is 40450151.

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 (151054049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123512 + ... + 124728.

Almost surely, 2151054040 is an apocalyptic number.

151054040 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 151054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177584400).

151054040 is an abundant number, since it is smaller than the sum of its proper divisors (204114760).

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

151054040 is a wasteful number, since it uses less digits than its factorization.

151054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

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

The square root of 151054040 is about 12290.4043871632. The cubic root of 151054040 is about 532.5709193090.

The spelling of 151054040 in words is "one hundred fifty-one million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 107 116 145 214 232 290 428 535 580 856 1070 1160 1217 2140 2434 3103 4280 4868 6085 6206 9736 12170 12412 15515 24340 24824 31030 35293 48680 62060 70586 124120 130219 141172 176465 260438 282344 352930 520876 651095 705860 1041752 1302190 1411720 2604380 3776351 5208760 7552702 15105404 18881755 30210808 37763510 75527020 151054040