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146501680 = 24513140867
BaseRepresentation
bin10001011101101…
…11000000110000
3101012200001112011
420232313000300
5300001023210
622312012304
73426146413
oct1056670060
9335601464
10146501680
1175772976
1241091094
13244757b0
1415657b7a
15ccdcd8a
hex8bb7030

146501680 has 40 divisors (see below), whose sum is σ = 366820272. Its totient is φ = 54092544.

The previous prime is 146501657. The next prime is 146501683. The reversal of 146501680 is 86105641.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (146501683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69394 + ... + 71473.

Almost surely, 2146501680 is an apocalyptic number.

146501680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146501680 is an abundant number, since it is smaller than the sum of its proper divisors (220318592).

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

146501680 is a wasteful number, since it uses less digits than its factorization.

146501680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140893 (or 140887 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 146501680 is about 12103.7878368716. The cubic root of 146501680 is about 527.1661731861.

The spelling of 146501680 in words is "one hundred forty-six million, five hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 140867 281734 563468 704335 1126936 1408670 1831271 2253872 2817340 3662542 5634680 7325084 9156355 11269360 14650168 18312710 29300336 36625420 73250840 146501680