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146096676 = 223311313967
BaseRepresentation
bin10001011010101…
…00001000100100
3101011220110222000
420231110020210
5244400043201
622255205300
73422541555
oct1055241044
9334813860
10146096676
1175516660
1240b16830
132436334b
141559032c
15cc5cd86
hex8b54224

146096676 has 96 divisors (see below), whose sum is σ = 426639360. Its totient is φ = 42832800.

The previous prime is 146096659. The next prime is 146096711. The reversal of 146096676 is 676690641.

It is a happy 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, 34845 + ... + 38811.

It is an arithmetic number, because the mean of its divisors is an integer number (4444160).

Almost surely, 2146096676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146096676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213319680).

146096676 is an abundant number, since it is smaller than the sum of its proper divisors (280542684).

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

146096676 is a wasteful number, since it uses less digits than its factorization.

146096676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 146096676 is about 12087.0457929140. The cubic root of 146096676 is about 526.6799410922.

The spelling of 146096676 in words is "one hundred forty-six million, ninety-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 3967 4092 6138 7934 9207 11901 12276 15868 18414 23802 35703 36828 43637 47604 71406 87274 107109 122977 130911 142812 174548 214218 245954 261822 368931 392733 428436 491908 523644 737862 785466 1106793 1178199 1352747 1475724 1570932 2213586 2356398 2705494 3320379 4058241 4427172 4712796 5410988 6640758 8116482 12174723 13281516 16232964 24349446 36524169 48698892 73048338 146096676