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10464972 = 2237197983
BaseRepresentation
bin100111111010…
…111011001100
3201200200020120
4213322323030
510134334342
61012144540
7154644060
oct47727314
921620216
1010464972
1159a8541
123608150
1322253bb
141565aa0
15dbaaec
hex9faecc

10464972 has 96 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 2763072.

The previous prime is 10464959. The next prime is 10464997. The reversal of 10464972 is 27946401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126043 + ... + 126125.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 210464972 is an apocalyptic number.

10464972 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 10464972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052800).

10464972 is an abundant number, since it is smaller than the sum of its proper divisors (19640628).

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

10464972 is a wasteful number, since it uses less digits than its factorization.

10464972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 10464972 is about 3234.9608962088. The cubic root of 10464972 is about 218.7321844539.

The spelling of 10464972 in words is "ten million, four hundred sixty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 83 84 114 133 158 166 228 237 249 266 316 332 399 474 498 532 553 581 798 948 996 1106 1162 1501 1577 1596 1659 1743 2212 2324 3002 3154 3318 3486 4503 4731 6004 6308 6557 6636 6972 9006 9462 10507 11039 13114 18012 18924 19671 21014 22078 26228 31521 33117 39342 42028 44156 45899 63042 66234 78684 91798 124583 126084 132468 137697 183596 249166 275394 373749 498332 550788 747498 872081 1494996 1744162 2616243 3488324 5232486 10464972