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153870690 = 23523269829
BaseRepresentation
bin10010010101111…
…10000101100010
3101201112102220110
421022332011202
5303342330230
623133552150
73545610411
oct1112760542
9351472813
10153870690
1179946366
1243645656
1325b5595c
1416615478
15d7964b0
hex92be162

153870690 has 64 divisors (see below), whose sum is σ = 387244800. Its totient is φ = 39055104.

The previous prime is 153870623. The next prime is 153870707. The reversal of 153870690 is 96078351.

It is a super-2 number, since 2×1538706902 = 47352378482152200, which contains 22 as substring.

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, 185196 + ... + 186024.

It is an arithmetic number, because the mean of its divisors is an integer number (6050700).

Almost surely, 2153870690 is an apocalyptic number.

153870690 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 153870690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193622400).

153870690 is an abundant number, since it is smaller than the sum of its proper divisors (233374110).

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

153870690 is a wasteful number, since it uses less digits than its factorization.

153870690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 153870690 is about 12404.4625034703. The cubic root of 153870690 is about 535.8607740605.

The spelling of 153870690 in words is "one hundred fifty-three million, eight hundred seventy thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 269 345 538 690 807 829 1345 1614 1658 2487 2690 4035 4145 4974 6187 8070 8290 12374 12435 18561 19067 24870 30935 37122 38134 57201 61870 92805 95335 114402 185610 190670 223001 286005 446002 572010 669003 1115005 1338006 2230010 3345015 5129023 6690030 10258046 15387069 25645115 30774138 51290230 76935345 153870690