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146931696 = 24321317789
BaseRepresentation
bin10001100000111…
…11111111110000
3101020110220101200
420300133333300
5300103303241
622325131200
73432620202
oct1060377760
9336426350
10146931696
1175a36a5a
1241259b00
1324596442
141572a772
15cd754b6
hex8c1fff0

146931696 has 60 divisors (see below), whose sum is σ = 414396840. Its totient is φ = 48597120.

The previous prime is 146931689. The next prime is 146931709. The reversal of 146931696 is 696139641.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14970 + ... + 22758.

It is an arithmetic number, because the mean of its divisors is an integer number (6906614).

Almost surely, 2146931696 is an apocalyptic number.

146931696 is a gapful number since it is divisible by the number (16) 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 146931696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207198420).

146931696 is an abundant number, since it is smaller than the sum of its proper divisors (267465144).

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

146931696 is a wasteful number, since it uses less digits than its factorization.

146931696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7925 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 146931696 is about 12121.5385162115. The cubic root of 146931696 is about 527.6814538630.

The spelling of 146931696 in words is "one hundred forty-six million, nine hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 7789 9432 15578 18864 23367 31156 46734 62312 70101 93468 124624 140202 186936 280404 373872 560808 1020359 1121616 2040718 3061077 4081436 6122154 8162872 9183231 12244308 16325744 18366462 24488616 36732924 48977232 73465848 146931696