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2969675380 = 2257231239409
BaseRepresentation
bin1011000100000001…
…1010011001110100
321122221222010210001
42301000122121310
522040214103010
61210402241044
7133406552500
oct26100323164
97587863701
102969675380
111294339081
126aa656184
13384327889
14202591300
15125aa3c3a
hexb101a674

2969675380 has 144 divisors (see below), whose sum is σ = 7538227200. Its totient is φ = 978808320.

The previous prime is 2969675377. The next prime is 2969675393. The reversal of 2969675380 is 835769692.

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 47 ways as a sum of consecutive naturals, for example, 7260616 + ... + 7261024.

It is an arithmetic number, because the mean of its divisors is an integer number (52348800).

Almost surely, 22969675380 is an apocalyptic number.

2969675380 is a gapful number since it is divisible by the number (20) 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 2969675380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769113600).

2969675380 is an abundant number, since it is smaller than the sum of its proper divisors (4568551820).

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

2969675380 is a wasteful number, since it uses less digits than its factorization.

2969675380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The square root of 2969675380 is about 54494.7280018902. The cubic root of 2969675380 is about 1437.3735851530.

The spelling of 2969675380 in words is "two billion, nine hundred sixty-nine million, six hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 239 245 310 409 434 478 490 620 818 868 956 980 1085 1195 1519 1636 1673 2045 2170 2390 2863 3038 3346 4090 4340 4780 5726 6076 6692 7409 7595 8180 8365 11452 11711 12679 14315 14818 15190 16730 20041 23422 25358 28630 29636 30380 33460 37045 40082 46844 50716 51863 57260 58555 63395 74090 80164 88753 97751 100205 103726 117110 126790 148180 177506 195502 200410 207452 234220 253580 259315 355012 363041 391004 400820 443765 488755 518630 621271 684257 726082 887530 977510 1037260 1242542 1368514 1452164 1775060 1815205 1955020 2485084 2737028 3030281 3106355 3421285 3630410 4789799 6060562 6212710 6842570 7260820 9579598 12121124 12425420 13685140 15151405 19159196 21211967 23948995 30302810 42423934 47897990 60605620 84847868 95795980 106059835 148483769 212119670 296967538 424239340 593935076 742418845 1484837690 2969675380