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1052500240 = 2451123149349
BaseRepresentation
bin111110101110111…
…110000100010000
32201100110112220101
4332232332010100
54123420001430
6252234422144
735040050551
oct7656760420
92640415811
101052500240
114a0122010
12254591954
1313a08c60c
149dad6328
1562601dca
hex3ebbe110

1052500240 has 160 divisors (see below), whose sum is σ = 2812320000. Its totient is φ = 362588160.

The previous prime is 1052500223. The next prime is 1052500297. The reversal of 1052500240 is 420052501.

It is a super-2 number, since 2×10525002402 = 2215513510400115200, which contains 22 as substring.

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, 3015586 + ... + 3015934.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 21052500240 is an apocalyptic number.

1052500240 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 1052500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160000).

1052500240 is an abundant number, since it is smaller than the sum of its proper divisors (1759819760).

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

1052500240 is a wasteful number, since it uses less digits than its factorization.

1052500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1052500240 is about 32442.2600938960. The cubic root of 1052500240 is about 1017.2024585433.

Adding to 1052500240 its reverse (420052501), we get a palindrome (1472552741).

The spelling of 1052500240 in words is "one billion, fifty-two million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 149 176 184 220 230 253 298 349 368 440 460 506 596 698 745 880 920 1012 1192 1265 1396 1490 1639 1745 1840 2024 2384 2530 2792 2980 3278 3427 3490 3839 4048 5060 5584 5960 6556 6854 6980 7678 8027 8195 10120 11920 13112 13708 13960 15356 16054 16390 17135 19195 20240 26224 27416 27920 30712 32108 32780 34270 37697 38390 40135 52001 54832 61424 64216 65560 68540 75394 76780 80270 88297 104002 128432 131120 137080 150788 153560 160540 176594 188485 208004 260005 274160 301576 307120 321080 353188 376970 416008 441485 520010 572011 603152 642160 706376 753940 832016 882970 1040020 1144022 1196023 1412752 1507880 1765940 2080040 2288044 2392046 2860055 3015760 3531880 4160080 4576088 4784092 5720110 5980115 7063760 9152176 9568184 11440220 11960230 13156253 19136368 22880440 23920460 26312506 45760880 47840920 52625012 65781265 95681840 105250024 131562530 210500048 263125060 526250120 1052500240