Search a number
-
+
157684590 = 2335783431
BaseRepresentation
bin10010110011000…
…01001101101110
3101222201012121000
421121201031232
5310331401330
623351421130
73623203560
oct1131411556
9358635530
10157684590
1181010848
12449847a6
132688c8bb
1416d29330
15dc9b560
hex966136e

157684590 has 64 divisors (see below), whose sum is σ = 480568320. Its totient is φ = 36041760.

The previous prime is 157684561. The next prime is 157684601. The reversal of 157684590 is 95486751.

157684590 is a `hidden beast` number, since 1 + 57 + 6 + 8 + 4 + 590 = 666.

157684590 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39826 + ... + 43605.

It is an arithmetic number, because the mean of its divisors is an integer number (7508880).

Almost surely, 2157684590 is an apocalyptic number.

157684590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157684590 is an abundant number, since it is smaller than the sum of its proper divisors (322883730).

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

157684590 is a wasteful number, since it uses less digits than its factorization.

157684590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83454 (or 83448 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 157684590 is about 12557.2524861134. The cubic root of 157684590 is about 540.2520428355.

The spelling of 157684590 in words is "one hundred fifty-seven million, six hundred eighty-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 83431 166862 250293 417155 500586 584017 750879 834310 1168034 1251465 1501758 1752051 2252637 2502930 2920085 3504102 3754395 4505274 5256153 5840170 7508790 8760255 10512306 11263185 15768459 17520510 22526370 26280765 31536918 52561530 78842295 157684590