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10003304160 = 2532516014339
BaseRepresentation
bin10010101000011111…
…00100111011100000
3221211010222111120200
421110033210323200
5130441321213120
64332341305200
7502614453033
oct112417447340
927733874520
1010003304160
114273671523
121b32105200
13c355a63b5
146ac78301a
153d8311e90
hex2543e4ee0

10003304160 has 144 divisors (see below), whose sum is σ = 34165469520. Its totient is φ = 2665267200.

The previous prime is 10003304153. The next prime is 10003304177. The reversal of 10003304160 is 6140330001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303271 + ... + 2307609.

It is an arithmetic number, because the mean of its divisors is an integer number (237260205).

Almost surely, 210003304160 is an apocalyptic number.

10003304160 is a gapful number since it is divisible by the number (10) 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 10003304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082734760).

10003304160 is an abundant number, since it is smaller than the sum of its proper divisors (24162165360).

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

10003304160 is a wasteful number, since it uses less digits than its factorization.

10003304160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10003304160 its reverse (6140330001), we get a palindrome (16143634161).

The spelling of 10003304160 in words is "ten billion, three million, three hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1601 3202 4339 4803 6404 8005 8678 9606 12808 13017 14409 16010 17356 19212 21695 24015 25616 26034 28818 32020 34712 38424 39051 43390 48030 51232 52068 57636 64040 65085 69424 72045 76848 78102 86780 96060 104136 115272 128080 130170 138848 144090 153696 156204 173560 192120 195255 208272 230544 256160 260340 288180 312408 347120 384240 390510 416544 461088 520680 576360 624816 694240 768480 781020 1041360 1152720 1249632 1562040 2082720 2305440 3124080 6248160 6946739 13893478 20840217 27786956 34733695 41680434 55573912 62520651 69467390 83360868 104201085 111147824 125041302 138934780 166721736 208402170 222295648 250082604 277869560 312603255 333443472 416804340 500165208 555739120 625206510 666886944 833608680 1000330416 1111478240 1250413020 1667217360 2000660832 2500826040 3334434720 5001652080 10003304160