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146068608 = 273731109
BaseRepresentation
bin10001011010011…
…01010010000000
3101011212001110110
420231031102000
5244343143413
622254431320
73422364000
oct1055152200
9334761413
10146068608
11754a7564
1240b02540
132435363a
1415584000
15cc548c3
hex8b4d480

146068608 has 128 divisors (see below), whose sum is σ = 452880000. Its totient is φ = 41696256.

The previous prime is 146068597. The next prime is 146068613. The reversal of 146068608 is 806860641.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131158 + ... + 132266.

It is an arithmetic number, because the mean of its divisors is an integer number (3538125).

Almost surely, 2146068608 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 146068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226440000).

146068608 is an abundant number, since it is smaller than the sum of its proper divisors (306811392).

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

146068608 is an equidigital number, since it uses as much as digits as its factorization.

146068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 146068608 is about 12085.8846593868. The cubic root of 146068608 is about 526.6462104608.

The spelling of 146068608 in words is "one hundred forty-six million, sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1109 1176 1344 1372 1568 2058 2218 2352 2688 2744 3136 3327 4116 4436 4704 5488 6272 6654 7763 8232 8872 9408 10976 13308 15526 16464 17744 18816 21952 23289 26616 31052 32928 35488 43904 46578 53232 54341 62104 65856 70976 93156 106464 108682 124208 131712 141952 163023 186312 212928 217364 248416 326046 372624 380387 425856 434728 496832 652092 745248 760774 869456 993664 1141161 1304184 1490496 1521548 1738912 2282322 2608368 2980992 3043096 3477824 4564644 5216736 6086192 6955648 9129288 10433472 12172384 18258576 20866944 24344768 36517152 48689536 73034304 146068608