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1140797952 = 2933711789
BaseRepresentation
bin100001111111111…
…0011001000000000
32221111121112121000
41003333303020000
54314021013302
6305111132000
740161423360
oct10377631000
92844545530
101140797952
11535a50428
1227a074000
13152466798
14ab71c9a0
156a24431c
hex43ff3200

1140797952 has 160 divisors (see below), whose sum is σ = 3859574400. Its totient is φ = 325914624.

The previous prime is 1140797951. The next prime is 1140797963. The reversal of 1140797952 is 2597970411.

It is a junction number, because it is equal to n+sod(n) for n = 1140797898 and 1140797907.

It is not an unprimeable number, because it can be changed into a prime (1140797951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90874 + ... + 102662.

It is an arithmetic number, because the mean of its divisors is an integer number (24122340).

Almost surely, 21140797952 is an apocalyptic number.

1140797952 is a gapful number since it is divisible by the number (12) 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 1140797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929787200).

1140797952 is an abundant number, since it is smaller than the sum of its proper divisors (2718776448).

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

1140797952 is an equidigital number, since it uses as much as digits as its factorization.

1140797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823 (or 11801 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 1140797952 is about 33775.7006144950. The cubic root of 1140797952 is about 1044.8876055641.

The spelling of 1140797952 in words is "one billion, one hundred forty million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 11789 12096 13824 16128 23578 24192 32256 35367 47156 48384 70734 82523 94312 96768 106101 141468 165046 188624 212202 247569 282936 318303 330092 377248 424404 495138 565872 636606 660184 742707 754496 848808 990276 1131744 1273212 1320368 1485414 1508992 1697616 1980552 2228121 2263488 2546424 2640736 2970828 3017984 3395232 3961104 4456242 4526976 5092848 5281472 5941656 6035968 6790464 7922208 8912484 9053952 10185696 10562944 11883312 13580928 15844416 17824968 18107904 20371392 21125888 23766624 27161856 31688832 35649936 40742784 42251776 47533248 54323712 63377664 71299872 81485568 95066496 126755328 142599744 162971136 190132992 285199488 380265984 570398976 1140797952