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146027296 = 2529532969
BaseRepresentation
bin10001011010000…
…11001100100000
3101011202221210101
420231003030200
5244340333141
622253512144
73422132362
oct1055031440
9334687711
10146027296
1175479518
1240aa2654
132433a8ac
1415572d32
15cc47531
hex8b43320

146027296 has 48 divisors (see below), whose sum is σ = 303118200. Its totient is φ = 69142528.

The previous prime is 146027291. The next prime is 146027309. The reversal of 146027296 is 692720641.

It can be written as a sum of positive squares in 4 ways, for example, as 96746896 + 49280400 = 9836^2 + 7020^2 .

It is not an unprimeable number, because it can be changed into a prime (146027291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47700 + ... + 50668.

Almost surely, 2146027296 is an apocalyptic number.

146027296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151559100).

146027296 is an abundant number, since it is smaller than the sum of its proper divisors (157090904).

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

146027296 is a wasteful number, since it uses less digits than its factorization.

146027296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 146027296 is about 12084.1754373230. The cubic root of 146027296 is about 526.5965560324.

The spelling of 146027296 in words is "one hundred forty-six million, twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 424 464 848 928 1537 1696 2969 3074 5938 6148 11876 12296 23752 24592 47504 49184 86101 95008 157357 172202 314714 344404 629428 688808 1258856 1377616 2517712 2755232 4563353 5035424 9126706 18253412 36506824 73013648 146027296