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146092680 = 23335135271
BaseRepresentation
bin10001011010100…
…11001010001000
3101011220021111000
420231103022020
5244344431210
622255135000
73422524116
oct1055231210
9334807430
10146092680
1175513658
1240b14460
1324361596
141558cab6
15cc5bac0
hex8b53288

146092680 has 64 divisors (see below), whose sum is σ = 486979200. Its totient is φ = 38957760.

The previous prime is 146092627. The next prime is 146092693. The reversal of 146092680 is 86290641.

It is a super-2 number, since 2×1460926802 = 42686142299164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 66556 + ... + 68715.

It is an arithmetic number, because the mean of its divisors is an integer number (7609050).

Almost surely, 2146092680 is an apocalyptic number.

146092680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146092680 is an abundant number, since it is smaller than the sum of its proper divisors (340886520).

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

146092680 is a wasteful number, since it uses less digits than its factorization.

146092680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135291 (or 135281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 146092680 is about 12086.8804908463. The cubic root of 146092680 is about 526.6751391754.

The spelling of 146092680 in words is "one hundred forty-six million, ninety-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 135271 270542 405813 541084 676355 811626 1082168 1217439 1352710 1623252 2029065 2434878 2705420 3246504 3652317 4058130 4869756 5410840 6087195 7304634 8116260 9739512 12174390 14609268 16232520 18261585 24348780 29218536 36523170 48697560 73046340 146092680