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146016696 = 23372323153
BaseRepresentation
bin10001011010000…
…00100110111000
3101011202102020210
420231000212320
5244340013241
622253351120
73422056440
oct1055004670
9334672223
10146016696
1175471561
1240a984a0
1324335b17
141556d120
15cc44316
hex8b409b8

146016696 has 192 divisors, whose sum is σ = 458680320. Its totient is φ = 37889280.

The previous prime is 146016667. The next prime is 146016701. The reversal of 146016696 is 696610641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2755006 + ... + 2755058.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 2146016696 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 146016696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340160).

146016696 is an abundant number, since it is smaller than the sum of its proper divisors (312663624).

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

146016696 is a wasteful number, since it uses less digits than its factorization.

146016696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 146016696 is about 12083.7368392398. The cubic root of 146016696 is about 526.5838139887.

The spelling of 146016696 in words is "one hundred forty-six million, sixteen thousand, six hundred ninety-six".