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151433970 = 23537227601
BaseRepresentation
bin10010000011010…
…11001011110010
3101112221122100120
421001223023302
5302231341340
623005431110
73516111312
oct1101531362
9345848316
10151433970
1178531646
124286b496
13254b17cc
141617d442
15d4644d0
hex906b2f2

151433970 has 64 divisors (see below), whose sum is σ = 375532416. Its totient is φ = 39052800.

The previous prime is 151433941. The next prime is 151434013. The reversal of 151433970 is 79334151.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251670 + ... + 252270.

It is an arithmetic number, because the mean of its divisors is an integer number (5867694).

Almost surely, 2151433970 is an apocalyptic number.

151433970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151433970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187766208).

151433970 is an abundant number, since it is smaller than the sum of its proper divisors (224098446).

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

151433970 is a wasteful number, since it uses less digits than its factorization.

151433970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 151433970 is about 12305.8510473677. The cubic root of 151433970 is about 533.0170516224.

The spelling of 151433970 in words is "one hundred fifty-one million, four hundred thirty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 227 370 454 555 601 681 1110 1135 1202 1362 1803 2270 3005 3405 3606 6010 6810 8399 9015 16798 18030 22237 25197 41995 44474 50394 66711 83990 111185 125985 133422 136427 222370 251970 272854 333555 409281 667110 682135 818562 1364270 2046405 4092810 5047799 10095598 15143397 25238995 30286794 50477990 75716985 151433970