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151755930 = 23105257
BaseRepresentation
bin10010000101110…
…01110010011010
3101120120000000000
421002321302122
5302322142210
623020353430
73521622054
oct1102716232
9346500000
10151755930
1178731527
12429a5876
1325595211
14162248d4
15d4c9ac0
hex90b9c9a

151755930 has 88 divisors (see below), whose sum is σ = 411333012. Its totient is φ = 40310784.

The previous prime is 151755917. The next prime is 151755931. The reversal of 151755930 is 39557151.

151755930 is a `hidden beast` number, since 1 + 517 + 55 + 93 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141776649 + 9979281 = 11907^2 + 3159^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151755931) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 590362 + ... + 590618.

Almost surely, 2151755930 is an apocalyptic number.

151755930 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 151755930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205666506).

151755930 is an abundant number, since it is smaller than the sum of its proper divisors (259577082).

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

151755930 is an frugal number, since it uses more digits than its factorization.

151755930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 23625, while the sum is 36.

The square root of 151755930 is about 12318.9256836788. The cubic root of 151755930 is about 533.3945290023.

The spelling of 151755930 in words is "one hundred fifty-one million, seven hundred fifty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 257 270 405 486 514 729 771 810 1215 1285 1458 1542 2187 2313 2430 2570 3645 3855 4374 4626 6561 6939 7290 7710 10935 11565 13122 13878 19683 20817 21870 23130 32805 34695 39366 41634 59049 62451 65610 69390 98415 104085 118098 124902 187353 196830 208170 295245 312255 374706 562059 590490 624510 936765 1124118 1686177 1873530 2810295 3372354 5058531 5620590 8430885 10117062 15175593 16861770 25292655 30351186 50585310 75877965 151755930