Search a number
-
+
146756970 = 23251630633
BaseRepresentation
bin10001011111101…
…01010101101010
3101020011000201100
420233311111222
5300032210340
622321302230
73431261613
oct1057652552
9336130640
10146756970
1175927758
1241194976
1324534a59
14156c2c0a
15cd3d830
hex8bf556a

146756970 has 24 divisors (see below), whose sum is σ = 381568356. Its totient is φ = 39135168.

The previous prime is 146756959. The next prime is 146756977. The reversal of 146756970 is 79657641.

It is a happy number.

146756970 is a `hidden beast` number, since 14 + 6 + 7 + 569 + 70 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145660761 + 1096209 = 12069^2 + 1047^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146756977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815227 + ... + 815406.

Almost surely, 2146756970 is an apocalyptic number.

146756970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146756970 is an abundant number, since it is smaller than the sum of its proper divisors (234811386).

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

146756970 is a wasteful number, since it uses less digits than its factorization.

146756970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630646 (or 1630643 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 146756970 is about 12114.3291188576. The cubic root of 146756970 is about 527.4722041612.

The spelling of 146756970 in words is "one hundred forty-six million, seven hundred fifty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1630633 3261266 4891899 8153165 9783798 14675697 16306330 24459495 29351394 48918990 73378485 146756970