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1368972384 = 253134723339
BaseRepresentation
bin101000110011000…
…1101110001100000
310112101222000001220
41101212031301200
510300424104014
6343501455040
745632034063
oct12146156140
93471860056
101368972384
1164282723a
12322571480
1318a806b40
14cdb568da
15802b66a9
hex5198dc60

1368972384 has 96 divisors (see below), whose sum is σ = 3952488960. Its totient is φ = 412242432.

The previous prime is 1368972377. The next prime is 1368972403. The reversal of 1368972384 is 4832798631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46987 + ... + 70325.

It is an arithmetic number, because the mean of its divisors is an integer number (41171760).

Almost surely, 21368972384 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 1368972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976244480).

1368972384 is an abundant number, since it is smaller than the sum of its proper divisors (2583516576).

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

1368972384 is a wasteful number, since it uses less digits than its factorization.

1368972384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23412 (or 23404 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 1368972384 is about 36999.6268089288. The cubic root of 1368972384 is about 1110.3627805351.

The spelling of 1368972384 in words is "one billion, three hundred sixty-eight million, nine hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 23339 29328 46678 58656 70017 93356 140034 186712 280068 303407 373424 560136 606814 746848 910221 1096933 1120272 1213628 1820442 2193866 2240544 2427256 3290799 3640884 4387732 4854512 6581598 7281768 8775464 9709024 13163196 14260129 14563536 17550928 26326392 28520258 29127072 35101856 42780387 52652784 57040516 85560774 105305568 114081032 171121548 228162064 342243096 456324128 684486192 1368972384