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104711640 = 233511233449
BaseRepresentation
bin1100011110111…
…00010111011000
321022000220100220
412033130113120
5203301233030
614220200040
72411014515
oct617342730
9238026326
10104711640
115411a450
122b099020
1318903267
14dc9a30c
1592d5a10
hex63dc5d8

104711640 has 128 divisors (see below), whose sum is σ = 357696000. Its totient is φ = 24273920.

The previous prime is 104711639. The next prime is 104711647. The reversal of 104711640 is 46117401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104711640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104711647) 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, 28636 + ... + 32084.

It is an arithmetic number, because the mean of its divisors is an integer number (2794500).

Almost surely, 2104711640 is an apocalyptic number.

104711640 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 104711640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178848000).

104711640 is an abundant number, since it is smaller than the sum of its proper divisors (252984360).

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

104711640 is a wasteful number, since it uses less digits than its factorization.

104711640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 104711640 is about 10232.8705649979. The cubic root of 104711640 is about 471.3371308941.

The spelling of 104711640 in words is "one hundred four million, seven hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3449 3795 5060 6072 6898 7590 10120 10347 13796 15180 17245 20694 27592 30360 34490 37939 41388 51735 68980 75878 79327 82776 103470 113817 137960 151756 158654 189695 206940 227634 237981 303512 317308 379390 396635 413880 455268 475962 569085 634616 758780 793270 872597 910536 951924 1138170 1189905 1517560 1586540 1745194 1903848 2276340 2379810 2617791 3173080 3490388 4362985 4552680 4759620 5235582 6980776 8725970 9519240 10471164 13088955 17451940 20942328 26177910 34903880 52355820 104711640