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1153284990 = 23511131914149
BaseRepresentation
bin100010010111101…
…1011101101111110
32222101002221120220
41010233123231332
54330220104430
6310234522210
740402521624
oct10457335576
92871087526
101153284990
11541aaa0a0
12282296366
13154c19370
14ad24d514
156b3ae110
hex44bdbb7e

1153284990 has 128 divisors (see below), whose sum is σ = 3423168000. Its totient is φ = 244477440.

The previous prime is 1153284989. The next prime is 1153285019. The reversal of 1153284990 is 994823511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74436 + ... + 88584.

It is an arithmetic number, because the mean of its divisors is an integer number (26743500).

Almost surely, 21153284990 is an apocalyptic number.

1153284990 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 1153284990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711584000).

1153284990 is an abundant number, since it is smaller than the sum of its proper divisors (2269883010).

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

1153284990 is a wasteful number, since it uses less digits than its factorization.

1153284990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14202.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1153284990 is about 33960.0499116241. The cubic root of 1153284990 is about 1048.6861844345.

The spelling of 1153284990 in words is "one billion, one hundred fifty-three million, two hundred eighty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 1045 1235 1254 1430 1482 2090 2145 2470 2717 3135 3705 4290 5434 6270 7410 8151 13585 14149 16302 27170 28298 40755 42447 70745 81510 84894 141490 155639 183937 212235 268831 311278 367874 424470 466917 537662 551811 778195 806493 919685 933834 1103622 1344155 1556390 1612986 1839370 2023307 2334585 2688310 2759055 2957141 3494803 4032465 4046614 4669170 5518110 5914282 6069921 6989606 8064930 8871423 10116535 10484409 12139842 14785705 17474015 17742846 20233070 20968818 29571410 30349605 34948030 38442833 44357115 52422045 60699210 76885666 88714230 104844090 115328499 192214165 230656998 384428330 576642495 1153284990