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146351640 = 23351771741
BaseRepresentation
bin10001011100100…
…10011000011000
3101012101102201010
420232102120120
5244431223030
622304453520
73424653111
oct1056223030
9335342633
10146351640
1175680176
124101a2a0
1324422406
1415619208
15ccad6b0
hex8b92618

146351640 has 64 divisors (see below), whose sum is σ = 464888160. Its totient is φ = 36730880.

The previous prime is 146351629. The next prime is 146351663. The reversal of 146351640 is 46153641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146351598 and 146351607.

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 15 ways as a sum of consecutive naturals, for example, 33831 + ... + 37910.

Almost surely, 2146351640 is an apocalyptic number.

146351640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146351640 is an abundant number, since it is smaller than the sum of its proper divisors (318536520).

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

146351640 is a wasteful number, since it uses less digits than its factorization.

146351640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71772 (or 71768 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 146351640 is about 12097.5881893872. The cubic root of 146351640 is about 526.9861456030.

The spelling of 146351640 in words is "one hundred forty-six million, three hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 71741 143482 215223 286964 358705 430446 573928 717410 860892 1076115 1219597 1434820 1721784 2152230 2439194 2869640 3658791 4304460 4878388 6097985 7317582 8608920 9756776 12195970 14635164 18293955 24391940 29270328 36587910 48783880 73175820 146351640