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104210040 = 23351127177
BaseRepresentation
bin1100011011000…
…01111001111000
321021002102022010
412031201321320
5203134210130
614201325520
72403525234
oct615417170
9237072263
10104210040
1153907600
122aa968a0
1318788b5c
14dba95c4
1592370b0
hex6361e78

104210040 has 96 divisors (see below), whose sum is σ = 343682640. Its totient is φ = 25259520.

The previous prime is 104210039. The next prime is 104210047. The reversal of 104210040 is 40012401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 104209998 and 104210025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104210047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10932 + ... + 18108.

Almost surely, 2104210040 is an apocalyptic number.

104210040 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 104210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171841320).

104210040 is an abundant number, since it is smaller than the sum of its proper divisors (239472600).

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

104210040 is a wasteful number, since it uses less digits than its factorization.

104210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 104210040 is about 10208.3318911564. The cubic root of 104210040 is about 470.5833107695.

Adding to 104210040 its reverse (40012401), we get a palindrome (144222441).

The spelling of 104210040 in words is "one hundred four million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7177 7260 14354 14520 21531 28708 35885 43062 57416 71770 78947 86124 107655 143540 157894 172248 215310 236841 287080 315788 394735 430620 473682 631576 789470 861240 868417 947364 1184205 1578940 1736834 1894728 2368410 2605251 3157880 3473668 4342085 4736820 5210502 6947336 8684170 9473640 10421004 13026255 17368340 20842008 26052510 34736680 52105020 104210040