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1464365680 = 24583220537
BaseRepresentation
bin101011101001000…
…0111001001110000
310210001110111001221
41113102013021300
510444334200210
6401150234424
751200621461
oct12722071160
93701414057
101464365680
11691661678
1234a4b5a14
131a44c688b
14dc6a8d68
158885b1da
hex57487270

1464365680 has 40 divisors (see below), whose sum is σ = 3445685712. Its totient is φ = 578686464.

The previous prime is 1464365677. The next prime is 1464365689. The reversal of 1464365680 is 865634641.

It is a happy number.

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

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464365689) 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, 103629 + ... + 116908.

Almost surely, 21464365680 is an apocalyptic number.

1464365680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464365680 is an abundant number, since it is smaller than the sum of its proper divisors (1981320032).

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

1464365680 is a wasteful number, since it uses less digits than its factorization.

1464365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220633 (or 220627 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 1464365680 is about 38267.0312410043. The cubic root of 1464365680 is about 1135.5768070906.

The spelling of 1464365680 in words is "one billion, four hundred sixty-four million, three hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 220537 441074 882148 1102685 1764296 2205370 3528592 4410740 8821480 17642960 18304571 36609142 73218284 91522855 146436568 183045710 292873136 366091420 732182840 1464365680