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15400353920 = 275714923071
BaseRepresentation
bin11100101011110111…
…01100000010000000
31110202021111001000112
432111323230002000
5223014442311140
611024055010452
71053430564010
oct162573540200
943667431015
1015400353920
116593109926
122b99669a28
1315b5782773
14a6147bc40
15602047c65
hex395eec080

15400353920 has 128 divisors (see below), whose sum is σ = 42360192000. Its totient is φ = 5244456960.

The previous prime is 15400353911. The next prime is 15400353967. The reversal of 15400353920 is 2935300451.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×154003539202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655985 + ... + 679055.

It is an arithmetic number, because the mean of its divisors is an integer number (330939000).

Almost surely, 215400353920 is an apocalyptic number.

15400353920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15400353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180096000).

15400353920 is an abundant number, since it is smaller than the sum of its proper divisors (26959838080).

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

15400353920 is a wasteful number, since it uses less digits than its factorization.

15400353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23246 (or 23234 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 15400353920 in words is "fifteen billion, four hundred million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 149 160 224 280 298 320 448 560 596 640 745 896 1043 1120 1192 1490 2086 2240 2384 2980 4172 4480 4768 5215 5960 8344 9536 10430 11920 16688 19072 20860 23071 23840 33376 41720 46142 47680 66752 83440 92284 95360 115355 133504 161497 166880 184568 230710 322994 333760 369136 461420 645988 667520 738272 807485 922840 1291976 1476544 1614970 1845680 2583952 2953088 3229940 3437579 3691360 5167904 6459880 6875158 7382720 10335808 12919760 13750316 14765440 17187895 20671616 24063053 25839520 27500632 34375790 48126106 51679040 55001264 68751580 96252212 103358080 110002528 120315265 137503160 192504424 220005056 240630530 275006320 385008848 440010112 481261060 550012640 770017696 962522120 1100025280 1540035392 1925044240 2200050560 3080070784 3850088480 7700176960 15400353920