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2381156640 = 253255473023
BaseRepresentation
bin1000110111101101…
…1001000100100000
320010221120021211200
42031323121010200
514334034003030
61032140241200
7113002332432
oct21573310440
96127507750
102381156640
111012112255
12565540200
132bc41bb35
14188356652
15de0a2d60
hex8ded9120

2381156640 has 144 divisors (see below), whose sum is σ = 8143244928. Its totient is φ = 633604608.

The previous prime is 2381156639. The next prime is 2381156653. The reversal of 2381156640 is 466511832.

It is a happy number.

2381156640 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 1 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2381156595 and 2381156604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786169 + ... + 789191.

It is an arithmetic number, because the mean of its divisors is an integer number (56550312).

Almost surely, 22381156640 is an apocalyptic number.

2381156640 is a gapful number since it is divisible by the number (20) 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 2381156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071622464).

2381156640 is an abundant number, since it is smaller than the sum of its proper divisors (5762088288).

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

2381156640 is a wasteful number, since it uses less digits than its factorization.

2381156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2381156640 is about 48797.0966349434. The cubic root of 2381156640 is about 1335.3526989667.

The spelling of 2381156640 in words is "two billion, three hundred eighty-one million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 547 720 1094 1440 1641 2188 2735 3023 3282 4376 4923 5470 6046 6564 8205 8752 9069 9846 10940 12092 13128 15115 16410 17504 18138 19692 21880 24184 24615 26256 27207 30230 32820 36276 39384 43760 45345 48368 49230 52512 54414 60460 65640 72552 78768 87520 90690 96736 98460 108828 120920 131280 136035 145104 157536 181380 196920 217656 241840 262560 272070 290208 362760 393840 435312 483680 544140 725520 787680 870624 1088280 1451040 1653581 2176560 3307162 4353120 4960743 6614324 8267905 9921486 13228648 14882229 16535810 19842972 24803715 26457296 29764458 33071620 39685944 49607430 52914592 59528916 66143240 74411145 79371888 99214860 119057832 132286480 148822290 158743776 198429720 238115664 264572960 297644580 396859440 476231328 595289160 793718880 1190578320 2381156640