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146946954 = 237112313829
BaseRepresentation
bin10001100001000…
…11101110001010
3101020111200022210
420300203232022
5300104300304
622325325550
73433012530
oct1060435612
9336450283
10146946954
1175a47470
12412668b6
13245a037b
1415732150
15cd79c89
hex8c23b8a

146946954 has 64 divisors (see below), whose sum is σ = 382371840. Its totient is φ = 36505920.

The previous prime is 146946889. The next prime is 146946991. The reversal of 146946954 is 459649641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (5974560).

Almost surely, 2146946954 is an apocalyptic number.

146946954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146946954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191185920).

146946954 is an abundant number, since it is smaller than the sum of its proper divisors (235424886).

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

146946954 is a wasteful number, since it uses less digits than its factorization.

146946954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875.

The product of its digits is 933120, while the sum is 48.

The square root of 146946954 is about 12122.1678754256. The cubic root of 146946954 is about 527.6997187783.

The spelling of 146946954 in words is "one hundred forty-six million, nine hundred forty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 10626 13829 27658 41487 82974 96803 152119 193606 290409 304238 318067 456357 580818 636134 912714 954201 1064833 1908402 2129666 2226469 3194499 3498737 4452938 6388998 6679407 6997474 10496211 13358814 20992422 24491159 48982318 73473477 146946954