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146068704 = 2533293577
BaseRepresentation
bin10001011010011…
…01010011100000
3101011212001121000
420231031103200
5244343144304
622254432000
73422364165
oct1055152340
9334761530
10146068704
11754a7641
1240b02600
13243536b2
141558406c
15cc54939
hex8b4d4e0

146068704 has 96 divisors (see below), whose sum is σ = 428228640. Its totient is φ = 48439296.

The previous prime is 146068687. The next prime is 146068733. The reversal of 146068704 is 407860641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 252864 + ... + 253440.

It is an arithmetic number, because the mean of its divisors is an integer number (4460715).

Almost surely, 2146068704 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 146068704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214114320).

146068704 is an abundant number, since it is smaller than the sum of its proper divisors (282159936).

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

146068704 is a wasteful number, since it uses less digits than its factorization.

146068704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146068704 is about 12085.8886309613. Note that the first 3 decimals coincide. The cubic root of 146068704 is about 526.6463258359.

The spelling of 146068704 in words is "one hundred forty-six million, sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 293 432 577 586 864 879 1154 1172 1731 1758 2308 2344 2637 3462 3516 4616 4688 5193 5274 6924 7032 7911 9232 9376 10386 10548 13848 14064 15579 15822 18464 20772 21096 27696 28128 31158 31644 41544 42192 55392 62316 63288 83088 84384 124632 126576 166176 169061 249264 253152 338122 498528 507183 676244 1014366 1352488 1521549 2028732 2704976 3043098 4057464 4564647 5409952 6086196 8114928 9129294 12172392 16229856 18258588 24344784 36517176 48689568 73034352 146068704