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20002394760 = 2335597393823
BaseRepresentation
bin10010101000001111…
…000101001010001000
31220122000000221020120
4102220033011022020
5311431103113020
613104452423240
71305451356465
oct225017051210
956560027216
1020002394760
118534915267
123a62917b20
131b6a03595a
14d7a74a66c
157c1090740
hex4a83c5288

20002394760 has 128 divisors (see below), whose sum is σ = 61122816000. Its totient is φ = 5235100416.

The previous prime is 20002394707. The next prime is 20002394807. The reversal of 20002394760 is 6749320002.

It is a super-2 number, since 2×200023947602 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5230209 + ... + 5234031.

It is an arithmetic number, because the mean of its divisors is an integer number (477522000).

Almost surely, 220002394760 is an apocalyptic number.

20002394760 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 20002394760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30561408000).

20002394760 is an abundant number, since it is smaller than the sum of its proper divisors (41120421240).

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

20002394760 is a wasteful number, since it uses less digits than its factorization.

20002394760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 20002394760 in words is "twenty billion, two million, three hundred ninety-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 739 885 1180 1416 1478 1770 2217 2360 2956 3540 3695 3823 4434 5912 7080 7390 7646 8868 11085 11469 14780 15292 17736 19115 22170 22938 29560 30584 38230 43601 44340 45876 57345 76460 87202 88680 91752 114690 130803 152920 174404 218005 225557 229380 261606 348808 436010 451114 458760 523212 654015 676671 872020 902228 1046424 1127785 1308030 1353342 1744040 1804456 2255570 2616060 2706684 2825197 3383355 4511140 5232120 5413368 5650394 6766710 8475591 9022280 11300788 13533420 14125985 16951182 22601576 27066840 28251970 33902364 42377955 56503940 67804728 84755910 113007880 166686623 169511820 333373246 339023640 500059869 666746492 833433115 1000119738 1333492984 1666866230 2000239476 2500299345 3333732460 4000478952 5000598690 6667464920 10001197380 20002394760