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146771968 = 21275119
BaseRepresentation
bin10001011111110…
…01000000000000
3101020011210021211
420233321000000
5300033200333
622321455504
73431353420
oct1057710000
9336153254
10146771968
1175937a52
12411a1594
132453b825
14156c8480
15cd42ecd
hex8bf9000

146771968 has 52 divisors (see below), whose sum is σ = 335503360. Its totient is φ = 62889984.

The previous prime is 146771959. The next prime is 146772019. The reversal of 146771968 is 869177641.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26113 + ... + 31231.

Almost surely, 2146771968 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 146771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167751680).

146771968 is an abundant number, since it is smaller than the sum of its proper divisors (188731392).

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

146771968 is an frugal number, since it uses more digits than its factorization.

146771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5128 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

The square root of 146771968 is about 12114.9481220515. The cubic root of 146771968 is about 527.4901720951.

The spelling of 146771968 in words is "one hundred forty-six million, seven hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 5119 7168 10238 14336 20476 28672 35833 40952 71666 81904 143332 163808 286664 327616 573328 655232 1146656 1310464 2293312 2620928 4586624 5241856 9173248 10483712 18346496 20967424 36692992 73385984 146771968