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1364060672 = 2913223919
BaseRepresentation
bin101000101001101…
…1110101000000000
310112001201110110122
41101103132220000
510243144420142
6343204315412
745542216162
oct12123365000
93461643418
101364060672
1163aa81a77
123209a2b68
131897a72c0
14cd238932
157eb461d2
hex514dea00

1364060672 has 80 divisors (see below), whose sum is σ = 2951477760. Its totient is φ = 626061312.

The previous prime is 1364060587. The next prime is 1364060681. The reversal of 1364060672 is 2760604631.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483829 + ... + 1484747.

It is an arithmetic number, because the mean of its divisors is an integer number (36893472).

Almost surely, 21364060672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475738880).

1364060672 is an abundant number, since it is smaller than the sum of its proper divisors (1587417088).

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

1364060672 is an equidigital number, since it uses as much as digits as its factorization.

1364060672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 1364060672 is about 36933.1920093566. The cubic root of 1364060672 is about 1109.0332388050.

The spelling of 1364060672 in words is "one billion, three hundred sixty-four million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 223 256 416 446 512 832 892 919 1664 1784 1838 2899 3328 3568 3676 5798 6656 7136 7352 11596 11947 14272 14704 23192 23894 28544 29408 46384 47788 57088 58816 92768 95576 114176 117632 185536 191152 204937 235264 371072 382304 409874 470528 742144 764608 819748 1484288 1529216 1639496 2664181 3058432 3278992 5328362 6116864 6557984 10656724 13115968 21313448 26231936 42626896 52463872 85253792 104927744 170507584 341015168 682030336 1364060672