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10239480 = 2333519499
BaseRepresentation
bin100111000011…
…110111111000
3201021012221000
4213003313320
510110130410
61003245000
7153014466
oct47036770
921235830
1010239480
115864089
123519760
132176884
141507836
15d73dc0
hex9c3df8

10239480 has 128 divisors (see below), whose sum is σ = 36000000. Its totient is φ = 2581632.

The previous prime is 10239479. The next prime is 10239487. The reversal of 10239480 is 8493201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20271 + ... + 20769.

It is an arithmetic number, because the mean of its divisors is an integer number (281250).

Almost surely, 210239480 is an apocalyptic number.

10239480 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 10239480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000000).

10239480 is an abundant number, since it is smaller than the sum of its proper divisors (25760520).

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

10239480 is a wasteful number, since it uses less digits than its factorization.

10239480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10239480 is about 3199.9187489685. The cubic root of 10239480 is about 217.1497334915.

The spelling of 10239480 in words is "ten million, two hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 499 513 540 570 684 760 855 998 1026 1080 1140 1368 1497 1710 1996 2052 2280 2495 2565 2994 3420 3992 4104 4491 4990 5130 5988 6840 7485 8982 9481 9980 10260 11976 13473 14970 17964 18962 19960 20520 22455 26946 28443 29940 35928 37924 44910 47405 53892 56886 59880 67365 75848 85329 89820 94810 107784 113772 134730 142215 170658 179640 189620 227544 255987 269460 284430 341316 379240 426645 511974 538920 568860 682632 853290 1023948 1137720 1279935 1706580 2047896 2559870 3413160 5119740 10239480