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3079252980 = 22325103307541
BaseRepresentation
bin1011011110001001…
…1010101111110100
321221121011020222200
42313202122233310
522301242043410
61225315024500
7136210134636
oct26742325764
97847136880
103079252980
111340181381
1271b29b130
133a0c428ab
14212d56a56
151304eb3c0
hexb789abf4

3079252980 has 144 divisors (see below), whose sum is σ = 9479293824. Its totient is φ = 809015040.

The previous prime is 3079252927. The next prime is 3079253029. The reversal of 3079252980 is 892529703.

3079252980 is a `hidden beast` number, since 30 + 7 + 92 + 529 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5691510 + ... + 5692050.

Almost surely, 23079252980 is an apocalyptic number.

3079252980 is a gapful number since it is divisible by the number (30) 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 3079252980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739646912).

3079252980 is an abundant number, since it is smaller than the sum of its proper divisors (6400040844).

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

3079252980 is a wasteful number, since it uses less digits than its factorization.

3079252980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3079252980 is about 55491.0171108802. The cubic root of 3079252980 is about 1454.8396323057.

The spelling of 3079252980 in words is "three billion, seventy-nine million, two hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 307 309 412 515 541 614 618 921 927 1030 1082 1228 1236 1535 1545 1623 1842 1854 2060 2164 2705 2763 3070 3090 3246 3684 3708 4605 4635 4869 5410 5526 6140 6180 6492 8115 9210 9270 9738 10820 11052 13815 16230 18420 18540 19476 24345 27630 31621 32460 48690 55260 55723 63242 94863 97380 111446 126484 158105 166087 167169 189726 222892 278615 284589 316210 332174 334338 379452 474315 498261 501507 557230 569178 632420 664348 668676 830435 835845 948630 996522 1003014 1114460 1138356 1422945 1494783 1660870 1671690 1897260 1993044 2006028 2491305 2507535 2845890 2989566 3321740 3343380 4982610 5015070 5691780 5979132 7473915 9965220 10030140 14947830 17106961 29895660 34213922 51320883 68427844 85534805 102641766 153962649 171069610 205283532 256604415 307925298 342139220 513208830 615850596 769813245 1026417660 1539626490 3079252980