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104537420 = 225131767353
BaseRepresentation
bin1100011101100…
…01110101001100
321021201001101022
412032301311030
5203230144140
614212333312
72406360551
oct616616514
9237631338
10104537420
1154010569
122b014238
1318871b80
14dc52a28
15929e0b5
hex63b1d4c

104537420 has 96 divisors (see below), whose sum is σ = 254778048. Its totient is φ = 35684352.

The previous prime is 104537417. The next prime is 104537423. The reversal of 104537420 is 24735401.

It is an interprime number because it is at equal distance from previous prime (104537417) and next prime (104537423).

It is a super-3 number, since 3×1045374203 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104537420.

It is not an unprimeable number, because it can be changed into a prime (104537423) 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, 295964 + ... + 296316.

It is an arithmetic number, because the mean of its divisors is an integer number (2653938).

Almost surely, 2104537420 is an apocalyptic number.

104537420 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 104537420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127389024).

104537420 is an abundant number, since it is smaller than the sum of its proper divisors (150240628).

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

104537420 is a wasteful number, since it uses less digits than its factorization.

104537420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 104537420 is about 10224.3542583383. The cubic root of 104537420 is about 471.0755810510.

The spelling of 104537420 in words is "one hundred four million, five hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 67 68 85 130 134 170 221 260 268 335 340 353 442 670 706 871 884 1105 1139 1340 1412 1742 1765 2210 2278 3484 3530 4355 4420 4556 4589 5695 6001 7060 8710 9178 11390 12002 14807 17420 18356 22780 22945 23651 24004 29614 30005 45890 47302 59228 60010 74035 78013 91780 94604 118255 120020 148070 156026 236510 296140 307463 312052 390065 402067 473020 614926 780130 804134 1229852 1537315 1560260 1608268 2010335 3074630 4020670 5226871 6149260 8041340 10453742 20907484 26134355 52268710 104537420