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103978944 = 2633193167
BaseRepresentation
bin1100011001010…
…01011111000000
321020122200022000
412030221133000
5203104311234
614152344000
72401543416
oct614513700
9236580260
10103978944
1153769a13
122a9a5000
1318707904
14db492b6
1591dd899
hex63297c0

103978944 has 112 divisors (see below), whose sum is σ = 321868800. Its totient is φ = 32825088.

The previous prime is 103978933. The next prime is 103978969. The reversal of 103978944 is 449879301.

It is a self number, because there is not a number n which added to its sum of digits gives 103978944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31249 + ... + 34415.

Almost surely, 2103978944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160934400).

103978944 is an abundant number, since it is smaller than the sum of its proper divisors (217889856).

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

103978944 is a wasteful number, since it uses less digits than its factorization.

103978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 103978944 is about 10197.0066195918. The cubic root of 103978944 is about 470.2351984128.

The spelling of 103978944 in words is "one hundred three million, nine hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3167 3648 4104 5472 6334 8208 9501 10944 12668 16416 19002 25336 28503 32832 38004 50672 57006 60173 76008 85509 101344 114012 120346 152016 171018 180519 202688 228024 240692 304032 342036 361038 456048 481384 541557 608064 684072 722076 912096 962768 1083114 1368144 1444152 1624671 1824192 1925536 2166228 2736288 2888304 3249342 3851072 4332456 5472576 5776608 6498684 8664912 11553216 12997368 17329824 25994736 34659648 51989472 103978944