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3964521420 = 2232522025119
BaseRepresentation
bin1110110001001101…
…1100101111001100
3101020021221112222200
43230103130233030
531104404141140
61453221241500
7200146606326
oct35423345714
911207845880
103964521420
111754961692
12927863290
134b247bb82
1429875a616
151830b8030
hexec4dcbcc

3964521420 has 36 divisors (see below), whose sum is σ = 12025715520. Its totient is φ = 1057205664.

The previous prime is 3964521413. The next prime is 3964521427. The reversal of 3964521420 is 241254693.

It is a happy number.

3964521420 is a `hidden beast` number, since 3 + 9 + 645 + 2 + 1 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3964521413) and next prime (3964521427).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (3964521427) 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, 11012380 + ... + 11012739.

Almost surely, 23964521420 is an apocalyptic number.

3964521420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3964521420 is an abundant number, since it is smaller than the sum of its proper divisors (8061194100).

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

3964521420 is a wasteful number, since it uses less digits than its factorization.

3964521420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22025134 (or 22025129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3964521420 is about 62964.4456816702. The cubic root of 3964521420 is about 1582.6938794976.

The spelling of 3964521420 in words is "three billion, nine hundred sixty-four million, five hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22025119 44050238 66075357 88100476 110125595 132150714 198226071 220251190 264301428 330376785 396452142 440502380 660753570 792904284 991130355 1321507140 1982260710 3964521420