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10468620 = 22325193061
BaseRepresentation
bin100111111011…
…110100001100
3201200212020200
4213323310030
510134443440
61012213500
7154660521
oct47736414
921625220
1010468620
115a00258
12360a290
132226c66
141567148
15dbbc30
hex9fbd0c

10468620 has 72 divisors (see below), whose sum is σ = 33437040. Its totient is φ = 2643840.

The previous prime is 10468609. The next prime is 10468631. The reversal of 10468620 is 2686401.

It is an interprime number because it is at equal distance from previous prime (10468609) and next prime (10468631).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1890 + ... + 4950.

Almost surely, 210468620 is an apocalyptic number.

10468620 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 10468620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718520).

10468620 is an abundant number, since it is smaller than the sum of its proper divisors (22968420).

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

10468620 is a wasteful number, since it uses less digits than its factorization.

10468620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10468620 is about 3235.5246869712. The cubic root of 10468620 is about 218.7575975593.

The spelling of 10468620 in words is "ten million, four hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3061 3420 6122 9183 12244 15305 18366 27549 30610 36732 45915 55098 58159 61220 91830 110196 116318 137745 174477 183660 232636 275490 290795 348954 523431 550980 581590 697908 872385 1046862 1163180 1744770 2093724 2617155 3489540 5234310 10468620