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3072469960 = 235729616203
BaseRepresentation
bin1011011100100010…
…0010101111001000
321221010101122102201
42313020202233020
522243023014320
61224513405544
7136065364240
oct26710425710
97833348381
103072469960
11133736917a
12718b698b4
1339c709381
142120acb20
1512eb0b70a
hexb7222bc8

3072469960 has 128 divisors (see below), whose sum is σ = 8308396800. Its totient is φ = 1000258560.

The previous prime is 3072469919. The next prime is 3072470003. The reversal of 3072469960 is 699642703.

It is a self number, because there is not a number n which added to its sum of digits gives 3072469960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492219 + ... + 498421.

It is an arithmetic number, because the mean of its divisors is an integer number (64909350).

Almost surely, 23072469960 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 3072469960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154198400).

3072469960 is an abundant number, since it is smaller than the sum of its proper divisors (5235926840).

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

3072469960 is a wasteful number, since it uses less digits than its factorization.

3072469960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 3072469960 is about 55429.8652352683. The cubic root of 3072469960 is about 1453.7706001728.

It can be divided in two parts, 307246 and 9960, that added together give a triangular number (317206 = T796).

The spelling of 3072469960 in words is "three billion, seventy-two million, four hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 61 70 116 122 140 145 203 232 244 280 290 305 406 427 488 580 610 812 854 1015 1160 1220 1624 1708 1769 2030 2135 2440 3416 3538 4060 4270 6203 7076 8120 8540 8845 12383 12406 14152 17080 17690 24766 24812 31015 35380 43421 49532 49624 61915 62030 70760 86842 99064 123830 124060 173684 179887 217105 247660 248120 347368 359774 378383 434210 495320 719548 756766 868420 899435 1259209 1439096 1513532 1736840 1798870 1891915 2518418 2648681 3027064 3597740 3783830 5036836 5297362 6296045 7195480 7567660 10073672 10594724 10973107 12592090 13243405 15135320 21189448 21946214 25184180 26486810 43892428 50368360 52973620 54865535 76811749 87784856 105947240 109731070 153623498 219462140 307246996 384058745 438924280 614493992 768117490 1536234980 3072469960