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10145088 = 263419103
BaseRepresentation
bin100110101100…
…110101000000
3201002102110000
4212230311000
510044120323
61001240000
7152142342
oct46546500
921072400
1010145088
1157aa178
123493000
132142915
1414c1292
15d55e43
hex9acd40

10145088 has 140 divisors (see below), whose sum is σ = 31963360. Its totient is φ = 3172608.

The previous prime is 10145087. The next prime is 10145111. The reversal of 10145088 is 88054101.

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 (10145087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98445 + ... + 98547.

Almost surely, 210145088 is an apocalyptic number.

10145088 is a gapful number since it is divisible by the number (18) 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 10145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981680).

10145088 is an abundant number, since it is smaller than the sum of its proper divisors (21818272).

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

10145088 is a wasteful number, since it uses less digits than its factorization.

10145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10145088 is about 3185.1354759256. The cubic root of 10145088 is about 216.4804121899.

Adding to 10145088 its reverse (88054101), we get a palindrome (98199189).

The spelling of 10145088 in words is "ten million, one hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 103 108 114 144 152 162 171 192 206 216 228 288 304 309 324 342 412 432 456 513 576 608 618 648 684 824 864 912 927 1026 1216 1236 1296 1368 1539 1648 1728 1824 1854 1957 2052 2472 2592 2736 2781 3078 3296 3648 3708 3914 4104 4944 5184 5472 5562 5871 6156 6592 7416 7828 8208 8343 9888 10944 11124 11742 12312 14832 15656 16416 16686 17613 19776 22248 23484 24624 29664 31312 32832 33372 35226 44496 46968 49248 52839 59328 62624 66744 70452 88992 93936 98496 105678 125248 133488 140904 158517 177984 187872 211356 266976 281808 317034 375744 422712 533952 563616 634068 845424 1127232 1268136 1690848 2536272 3381696 5072544 10145088