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104074400 = 25521941167
BaseRepresentation
bin1100011010000…
…00110010100000
321020211112020102
412031000302200
5203120340100
614154401532
72402421623
oct615006240
9236745212
10104074400
1153824701
122aa302a8
131873c1b1
14db71dba
15920bcd5
hex6340ca0

104074400 has 144 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 38246400.

The previous prime is 104074361. The next prime is 104074423. The reversal of 104074400 is 4470401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 623117 + ... + 623283.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2104074400 is an apocalyptic number.

104074400 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 104074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

104074400 is an abundant number, since it is smaller than the sum of its proper divisors (171532960).

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

104074400 is a wasteful number, since it uses less digits than its factorization.

104074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 104074400 is about 10201.6861351445. The cubic root of 104074400 is about 470.3790513910.

The spelling of 104074400 in words is "one hundred four million, seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 76 80 82 95 100 152 160 164 167 190 200 205 304 328 334 380 400 410 475 608 656 668 760 779 800 820 835 950 1025 1312 1336 1520 1558 1640 1670 1900 2050 2672 3040 3116 3173 3280 3340 3800 3895 4100 4175 5344 6232 6346 6560 6680 6847 7600 7790 8200 8350 12464 12692 13360 13694 15200 15580 15865 16400 16700 19475 24928 25384 26720 27388 31160 31730 32800 33400 34235 38950 50768 54776 62320 63460 66800 68470 77900 79325 101536 109552 124640 126920 130093 133600 136940 155800 158650 171175 219104 253840 260186 273880 311600 317300 342350 507680 520372 547760 623200 634600 650465 684700 1040744 1095520 1269200 1300930 1369400 2081488 2538400 2601860 2738800 3252325 4162976 5203720 5477600 6504650 10407440 13009300 20814880 26018600 52037200 104074400