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151938160 = 24511172657
BaseRepresentation
bin10010000111001…
…10010001110000
3101120220020222021
421003212101300
5302344010120
623024321224
73523311253
oct1103462160
9346806867
10151938160
1178846430
1242a73214
132562a14a
141627109a
15d513aaa
hex90e6470

151938160 has 40 divisors (see below), whose sum is σ = 385372656. Its totient is φ = 55249920.

The previous prime is 151938133. The next prime is 151938167. The reversal of 151938160 is 61839151.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151938167) 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 7 ways as a sum of consecutive naturals, for example, 85449 + ... + 87208.

Almost surely, 2151938160 is an apocalyptic number.

151938160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151938160 is an abundant number, since it is smaller than the sum of its proper divisors (233434496).

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

151938160 is a wasteful number, since it uses less digits than its factorization.

151938160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172681 (or 172675 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 151938160 is about 12326.3198076311. The cubic root of 151938160 is about 533.6079453842.

Subtracting from 151938160 its reverse (61839151), we obtain a palindrome (90099009).

The spelling of 151938160 in words is "one hundred fifty-one million, nine hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 172657 345314 690628 863285 1381256 1726570 1899227 2762512 3453140 3798454 6906280 7596908 9496135 13812560 15193816 18992270 30387632 37984540 75969080 151938160