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146945664 = 273414173
BaseRepresentation
bin10001100001000…
…11011010000000
3101020111121120000
420300203122000
5300104230124
622325320000
73433006005
oct1060433200
9336447500
10146945664
1175a464a8
1241266000
132459c8c8
14157318ac
15cd796c9
hex8c23680

146945664 has 80 divisors (see below), whose sum is σ = 437338770. Its totient is φ = 48978432.

The previous prime is 146945651. The next prime is 146945683. The reversal of 146945664 is 466549641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 46785600 = 10008^2 + 6840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3282 + ... + 17454.

Almost surely, 2146945664 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 146945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218669385).

146945664 is an abundant number, since it is smaller than the sum of its proper divisors (290393106).

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

146945664 is an equidigital number, since it uses as much as digits as its factorization.

146945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14199 (or 14178 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 146945664 is about 12122.1146670043. The cubic root of 146945664 is about 527.6981746051.

The spelling of 146945664 in words is "one hundred forty-six million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 14173 28346 42519 56692 85038 113384 127557 170076 226768 255114 340152 382671 453536 510228 680304 765342 907072 1020456 1148013 1360608 1530684 1814144 2040912 2296026 2721216 3061368 4081824 4592052 5442432 6122736 8163648 9184104 12245472 16327296 18368208 24490944 36736416 48981888 73472832 146945664