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146109690 = 23351274261
BaseRepresentation
bin10001011010101…
…11010011111010
3101011221010211000
420231113103322
5244401002230
622255345430
73422624526
oct1055272372
9334833730
10146109690
1175525411
1240b22276
132436924c
1415594d86
15cc61b60
hex8b574fa

146109690 has 64 divisors (see below), whose sum is σ = 392785920. Its totient is φ = 38646720.

The previous prime is 146109683. The next prime is 146109697. The reversal of 146109690 is 96901641.

It is an interprime number because it is at equal distance from previous prime (146109683) and next prime (146109697).

It is a super-2 number, since 2×1461096902 = 42696083023792200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146109697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32160 + ... + 36420.

It is an arithmetic number, because the mean of its divisors is an integer number (6137280).

Almost surely, 2146109690 is an apocalyptic number.

146109690 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 146109690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196392960).

146109690 is an abundant number, since it is smaller than the sum of its proper divisors (246676230).

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

146109690 is a wasteful number, since it uses less digits than its factorization.

146109690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 146109690 is about 12087.5841258706. The cubic root of 146109690 is about 526.6955791601.

The spelling of 146109690 in words is "one hundred forty-six million, one hundred nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 762 1143 1270 1905 2286 3429 3810 4261 5715 6858 8522 11430 12783 17145 21305 25566 34290 38349 42610 63915 76698 115047 127830 191745 230094 383490 541147 575235 1082294 1150470 1623441 2705735 3246882 4870323 5411470 8117205 9740646 14610969 16234410 24351615 29221938 48703230 73054845 146109690