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1152556340 = 22513219131137
BaseRepresentation
bin100010010110010…
…1001110100110100
32222022201221001212
41010230221310310
54330023300330
6310211140552
740363365365
oct10454516464
92868657055
101152556340
11541651701
12281ba4758
13154a22800
14ad0ddb6c
156b2b8295
hex44b29d34

1152556340 has 144 divisors (see below), whose sum is σ = 2800163520. Its totient is φ = 397163520.

The previous prime is 1152556337. The next prime is 1152556351. The reversal of 1152556340 is 436552511.

It is a super-2 number, since 2×11525563402 = 2656772233748391200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1152556297 and 1152556306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8412752 + ... + 8412888.

It is an arithmetic number, because the mean of its divisors is an integer number (19445580).

Almost surely, 21152556340 is an apocalyptic number.

1152556340 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 1152556340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400081760).

1152556340 is an abundant number, since it is smaller than the sum of its proper divisors (1647607180).

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

1152556340 is a wasteful number, since it uses less digits than its factorization.

1152556340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 1152556340 is about 33949.3201699239. The cubic root of 1152556340 is about 1048.4652832183.

The spelling of 1152556340 in words is "one billion, one hundred fifty-two million, five hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 131 137 169 190 247 260 262 274 338 380 494 524 548 655 676 685 845 988 1235 1310 1370 1690 1703 1781 2470 2489 2603 2620 2740 3211 3380 3406 3562 4940 4978 5206 6422 6812 7124 8515 8905 9956 10412 12445 12844 13015 16055 17030 17810 17947 22139 23153 24890 26030 32110 32357 33839 34060 35620 35894 44278 46306 49780 52060 64220 64714 67678 71788 88556 89735 92612 110695 115765 129428 135356 161785 169195 179470 221390 231530 233311 323570 338390 340993 358940 420641 439907 442780 463060 466622 647140 676780 681986 841282 879814 933244 1166555 1363972 1682564 1704965 1759628 2103205 2199535 2333110 3033043 3409930 4206410 4399070 4432909 4666220 6066086 6819860 8412820 8798140 8865818 12132172 15165215 17731636 22164545 30330430 44329090 57627817 60660860 88658180 115255634 230511268 288139085 576278170 1152556340