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10148490 = 2345111767
BaseRepresentation
bin100110101101…
…101010001010
3201002121010000
4212231222022
510044222430
61001303430
7152155302
oct46555212
921077100
1010148490
115801790
123494b76
132144331
1414c2602
15d56e60
hex9ada8a

10148490 has 160 divisors (see below), whose sum is σ = 31990464. Its totient is φ = 2280960.

The previous prime is 10148477. The next prime is 10148503. The reversal of 10148490 is 9484101.

10148490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10148477) and next prime (10148503).

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151437 + ... + 151503.

Almost surely, 210148490 is an apocalyptic number.

10148490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10148490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995232).

10148490 is an abundant number, since it is smaller than the sum of its proper divisors (21841974).

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

10148490 is a wasteful number, since it uses less digits than its factorization.

10148490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10148490 is about 3185.6694743805. The cubic root of 10148490 is about 216.5046072834.

The spelling of 10148490 in words is "ten million, one hundred forty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 67 81 85 90 99 102 110 134 135 153 162 165 170 187 198 201 255 270 297 306 330 335 374 402 405 459 495 510 561 594 603 670 737 765 810 891 918 935 990 1005 1122 1139 1206 1377 1474 1485 1530 1683 1782 1809 1870 2010 2211 2278 2295 2754 2805 2970 3015 3366 3417 3618 3685 4422 4455 4590 5049 5427 5610 5695 6030 6633 6834 6885 7370 8415 8910 9045 10098 10251 10854 11055 11390 12529 13266 13770 15147 16830 17085 18090 19899 20502 22110 25058 25245 27135 30294 30753 33165 34170 37587 39798 50490 51255 54270 59697 61506 62645 66330 75174 75735 92259 99495 102510 112761 119394 125290 151470 153765 184518 187935 198990 225522 298485 307530 338283 375870 461295 563805 596970 676566 922590 1014849 1127610 1691415 2029698 3382830 5074245 10148490