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101663424 = 26362179
BaseRepresentation
bin1100000111101…
…00001011000000
321002022001000000
412003310023000
5202011212144
614031000000
72343060552
oct603641300
9232261000
10101663424
1152428265
122a069000
13180a6995
14d7054d2
158dd2769
hex60f42c0

101663424 has 98 divisors (see below), whose sum is σ = 302607980. Its totient is φ = 33872256.

The previous prime is 101663413. The next prime is 101663447. The reversal of 101663424 is 424366101.

101663424 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 634 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45567 + ... + 47745.

Almost surely, 2101663424 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 101663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151303990).

101663424 is an abundant number, since it is smaller than the sum of its proper divisors (200944556).

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

101663424 is an frugal number, since it uses more digits than its factorization.

101663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 101663424 is about 10082.8281746740. The cubic root of 101663424 is about 466.7183870114.

The spelling of 101663424 in words is "one hundred one million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2179 2592 2916 3888 4358 5184 5832 6537 7776 8716 11664 13074 15552 17432 19611 23328 26148 34864 39222 46656 52296 58833 69728 78444 104592 117666 139456 156888 176499 209184 235332 313776 352998 418368 470664 529497 627552 705996 941328 1058994 1255104 1411992 1588491 1882656 2117988 2823984 3176982 3765312 4235976 5647968 6353964 8471952 11295936 12707928 16943904 25415856 33887808 50831712 101663424