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104911352 = 23731317173
BaseRepresentation
bin1100100000011…
…01000111111000
321022102001022122
412100031013320
5203324130402
614224340412
72412506000
oct620150770
9238361278
10104911352
11542464a7
122b174708
1318973130
14dd0d000
159324ca2
hex640d1f8

104911352 has 128 divisors (see below), whose sum is σ = 263088000. Its totient is φ = 38836224.

The previous prime is 104911351. The next prime is 104911393. The reversal of 104911352 is 253119401.

It is a super-2 number, since 2×1049113522 = 22012783556935808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104911351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606338 + ... + 606510.

It is an arithmetic number, because the mean of its divisors is an integer number (2055375).

Almost surely, 2104911352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104911352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131544000).

104911352 is an abundant number, since it is smaller than the sum of its proper divisors (158176648).

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

104911352 is a wasteful number, since it uses less digits than its factorization.

104911352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 104911352 is about 10242.6242731050. The cubic root of 104911352 is about 471.6365942583.

The spelling of 104911352 in words is "one hundred four million, nine hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 173 182 196 221 238 343 346 364 392 442 476 637 686 692 728 833 884 952 1211 1274 1372 1384 1547 1666 1768 2249 2422 2548 2744 2941 3094 3332 4459 4498 4844 5096 5831 5882 6188 6664 8477 8918 8996 9688 10829 11662 11764 12376 15743 16954 17836 17992 20587 21658 23324 23528 31486 33908 35672 38233 41174 43316 46648 59339 62972 67816 75803 76466 82348 86632 110201 118678 125944 144109 151606 152932 164696 220402 237356 267631 288218 303212 305864 440804 474712 535262 576436 606424 771407 881608 1008763 1070524 1152872 1542814 1873417 2017526 2141048 3085628 3746834 4035052 6171256 7493668 8070104 13113919 14987336 26227838 52455676 104911352