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146764020 = 223513188159
BaseRepresentation
bin10001011111101…
…11000011110100
3101020011101101110
420233313003310
5300032422040
622321355020
73431321304
oct1057670364
9336141343
10146764020
1175931a87
1241198a70
1324538020
14156c5604
15cd40980
hex8bf70f4

146764020 has 48 divisors (see below), whose sum is σ = 442552320. Its totient is φ = 36126336.

The previous prime is 146764019. The next prime is 146764021. The reversal of 146764020 is 20467641.

It is an interprime number because it is at equal distance from previous prime (146764019) and next prime (146764021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146764021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93300 + ... + 94859.

It is an arithmetic number, because the mean of its divisors is an integer number (9219840).

Almost surely, 2146764020 is an apocalyptic number.

146764020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146764020 is an abundant number, since it is smaller than the sum of its proper divisors (295788300).

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

146764020 is a wasteful number, since it uses less digits than its factorization.

146764020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188184 (or 188182 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 146764020 is about 12114.6200930941. The cubic root of 146764020 is about 527.4806503687.

The spelling of 146764020 in words is "one hundred forty-six million, seven hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 188159 376318 564477 752636 940795 1128954 1881590 2257908 2446067 2822385 3763180 4892134 5644770 7338201 9784268 11289540 12230335 14676402 24460670 29352804 36691005 48921340 73382010 146764020