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103421952 = 2113231181
BaseRepresentation
bin1100010101000…
…01100000000000
321012121101020200
412022201200000
5202434000302
614132405200
72364033504
oct612414000
9235541220
10103421952
1153419497
122a776800
131857122a
14da42304
15912d81c
hex62a1800

103421952 has 144 divisors (see below), whose sum is σ = 310040640. Its totient is φ = 33177600.

The previous prime is 103421933. The next prime is 103421957. The reversal of 103421952 is 259124301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1034219522 = 21392200310980608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103421957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571302 + ... + 571482.

It is an arithmetic number, because the mean of its divisors is an integer number (2153060).

Almost surely, 2103421952 is an apocalyptic number.

103421952 is a gapful number since it is divisible by the number (12) 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 103421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020320).

103421952 is an abundant number, since it is smaller than the sum of its proper divisors (206618688).

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

103421952 is a wasteful number, since it uses less digits than its factorization.

103421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103421952 is about 10169.6584013427. The cubic root of 103421952 is about 469.3940463240.

The spelling of 103421952 in words is "one hundred three million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 181 186 192 248 256 279 288 362 372 384 496 512 543 558 576 724 744 768 992 1024 1086 1116 1152 1448 1488 1536 1629 1984 2048 2172 2232 2304 2896 2976 3072 3258 3968 4344 4464 4608 5611 5792 5952 6144 6516 7936 8688 8928 9216 11222 11584 11904 13032 15872 16833 17376 17856 18432 22444 23168 23808 26064 31744 33666 34752 35712 44888 46336 47616 50499 52128 63488 67332 69504 71424 89776 92672 95232 100998 104256 134664 139008 142848 179552 185344 190464 201996 208512 269328 278016 285696 359104 370688 403992 417024 538656 556032 571392 718208 807984 834048 1077312 1112064 1436416 1615968 1668096 2154624 2872832 3231936 3336192 4309248 5745664 6463872 8618496 11491328 12927744 17236992 25855488 34473984 51710976 103421952