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32106147240 = 2335347839919
BaseRepresentation
bin11101111001101011…
…001110110110101000
310001212112101021020110
4131321223032312220
51011223133202430
622425510054320
72214422514546
oct357153166650
9101775337213
1032106147240
11126860a0692
12628034a3a0
133048825c7b
1417a8054d96
15c7d9a77b0
hex779aceda8

32106147240 has 128 divisors (see below), whose sum is σ = 96816384000. Its totient is φ = 8517512448.

The previous prime is 32106147223. The next prime is 32106147277. The reversal of 32106147240 is 4274160123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32106147198 and 32106147207.

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, 34935501 + ... + 34936419.

It is an arithmetic number, because the mean of its divisors is an integer number (756378000).

Almost surely, 232106147240 is an apocalyptic number.

32106147240 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 32106147240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48408192000).

32106147240 is an abundant number, since it is smaller than the sum of its proper divisors (64710236760).

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

32106147240 is a wasteful number, since it uses less digits than its factorization.

32106147240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 32106147240 in words is "thirty-two billion, one hundred six million, one hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 839 919 1041 1388 1678 1735 1838 2082 2517 2757 2776 3356 3470 3676 4164 4195 4595 5034 5205 5514 6712 6940 7352 8328 8390 9190 10068 10410 11028 12585 13785 13880 16780 18380 20136 20820 22056 25170 27570 33560 36760 41640 50340 55140 100680 110280 291133 318893 582266 637786 771041 873399 956679 1164532 1275572 1455665 1542082 1594465 1746798 1913358 2313123 2329064 2551144 2911330 3084164 3188930 3493596 3826716 3855205 4366995 4626246 4783395 5822660 6168328 6377860 6987192 7653432 7710410 8733990 9252492 9566790 11565615 11645320 12755720 15420820 17467980 18504984 19133580 23131230 30841640 34935960 38267160 46262460 92524920 267551227 535102454 802653681 1070204908 1337756135 1605307362 2140409816 2675512270 3210614724 4013268405 5351024540 6421229448 8026536810 10702049080 16053073620 32106147240