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104962704 = 24372114057
BaseRepresentation
bin1100100000110…
…01101010010000
321022111122202120
412100121222100
5203332301304
614225414240
72413111500
oct620315220
9238448676
10104962704
1154281040
122b19a380
1318990612
14dd23a00
1593350d9
hex6419a90

104962704 has 120 divisors (see below), whose sum is σ = 344183328. Its totient is φ = 27256320.

The previous prime is 104962681. The next prime is 104962717. The reversal of 104962704 is 407269401.

It is a happy number.

It is a super-2 number, since 2×1049627042 = 22034338461983232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 23844 + ... + 27900.

Almost surely, 2104962704 is an apocalyptic number.

104962704 is a gapful number since it is divisible by the number (14) 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 104962704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172091664).

104962704 is an abundant number, since it is smaller than the sum of its proper divisors (239220624).

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

104962704 is a wasteful number, since it uses less digits than its factorization.

104962704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 104962704 is about 10245.1307458714. The cubic root of 104962704 is about 471.7135339201.

The spelling of 104962704 in words is "one hundred four million, nine hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4057 4312 6468 8114 8624 12171 12936 16228 24342 25872 28399 32456 44627 48684 56798 64912 85197 89254 97368 113596 133881 170394 178508 194736 198793 227192 267762 312389 340788 357016 397586 454384 535524 596379 624778 681576 714032 795172 937167 1071048 1192758 1249556 1363152 1590344 1874334 2142096 2186723 2385516 2499112 3180688 3748668 4373446 4771032 4998224 6560169 7497336 8746892 9542064 13120338 14994672 17493784 26240676 34987568 52481352 104962704