Search a number
-
+
5330053960 = 2357118871951
BaseRepresentation
bin1001111011011001…
…00010101101001000
3111202110102210110221
410331230202231020
541403443211320
62240521315424
7246040465630
oct47554425510
914673383427
105330053960
112295749480
121049035b74
1366c3500aa
14387c596c0
15212e003aa
hex13db22b48

5330053960 has 128 divisors (see below), whose sum is σ = 14976368640. Its totient is φ = 1658592000.

The previous prime is 5330053951. The next prime is 5330053961. The reversal of 5330053960 is 693500335.

It is not an unprimeable number, because it can be changed into a prime (5330053961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730985 + ... + 2732935.

It is an arithmetic number, because the mean of its divisors is an integer number (117002880).

Almost surely, 25330053960 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 5330053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488184320).

5330053960 is an abundant number, since it is smaller than the sum of its proper divisors (9646314680).

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

5330053960 is a wasteful number, since it uses less digits than its factorization.

5330053960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 34.

The square root of 5330053960 is about 73007.2185472094. The cubic root of 5330053960 is about 1746.8027564911.

The spelling of 5330053960 in words is "five billion, three hundred thirty million, fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 887 1540 1774 1951 3080 3548 3902 4435 6209 7096 7804 8870 9755 9757 12418 13657 15608 17740 19510 19514 21461 24836 27314 31045 35480 39020 39028 42922 48785 49672 54628 62090 68285 68299 78040 78056 85844 97570 107305 109256 124180 136570 136598 150227 171688 195140 214610 248360 273140 273196 300454 341495 390280 429220 546280 546392 600908 682990 751135 858440 1201816 1365980 1502270 1730537 2731960 3004540 3461074 6009080 6922148 8652685 12113759 13844296 17305370 19035907 24227518 34610740 38071814 48455036 60568795 69221480 76143628 95179535 96910072 121137590 133251349 152287256 190359070 242275180 266502698 380718140 484550360 533005396 666256745 761436280 1066010792 1332513490 2665026980 5330053960