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155792340 = 2232511223311
BaseRepresentation
bin10010100100100…
…11001111010100
3101212011001220200
421102103033110
5304340323330
623243100500
73601133034
oct1122231724
9355131820
10155792340
117aa39100
1244211730
1326379522
14169958c4
15da25a60
hex94933d4

155792340 has 216 divisors, whose sum is σ = 543763584. Its totient is φ = 36009600.

The previous prime is 155792339. The next prime is 155792347. The reversal of 155792340 is 43297551.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155792295 and 155792304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155792347) 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 71 ways as a sum of consecutive naturals, for example, 500785 + ... + 501095.

It is an arithmetic number, because the mean of its divisors is an integer number (2517424).

Almost surely, 2155792340 is an apocalyptic number.

155792340 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 155792340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

155792340 is an abundant number, since it is smaller than the sum of its proper divisors (387971244).

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

155792340 is a wasteful number, since it uses less digits than its factorization.

155792340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 155792340 is about 12481.6801753610. The cubic root of 155792340 is about 538.0822923368.

The spelling of 155792340 in words is "one hundred fifty-five million, seven hundred ninety-two thousand, three hundred forty".