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116192640 = 273573829
BaseRepresentation
bin1101110110011…
…11010110000000
322002122012100010
412323033112000
5214221131030
615310224520
72610423024
oct673172600
9262565303
10116192640
115a651283
1232ab5140
131b0c2c55
1411608384
15a3026b0
hex6ecf580

116192640 has 128 divisors (see below), whose sum is σ = 375890400. Its totient is φ = 30523392.

The previous prime is 116192639. The next prime is 116192663. The reversal of 116192640 is 46291611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116192598 and 116192607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139746 + ... + 140574.

Almost surely, 2116192640 is an apocalyptic number.

116192640 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 116192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187945200).

116192640 is an abundant number, since it is smaller than the sum of its proper divisors (259697760).

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

116192640 is an equidigital number, since it uses as much as digits as its factorization.

116192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 116192640 is about 10779.2689919122. The cubic root of 116192640 is about 487.9697195222.

The spelling of 116192640 in words is "one hundred sixteen million, one hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 829 876 960 1095 1168 1460 1658 1752 1920 2190 2336 2487 2920 3316 3504 4145 4380 4672 4974 5840 6632 7008 8290 8760 9344 9948 11680 12435 13264 14016 16580 17520 19896 23360 24870 26528 28032 33160 35040 39792 46720 49740 53056 60517 66320 70080 79584 99480 106112 121034 132640 140160 159168 181551 198960 242068 265280 302585 318336 363102 397920 484136 530560 605170 726204 795840 907755 968272 1210340 1452408 1591680 1815510 1936544 2420680 2904816 3631020 3873088 4841360 5809632 7262040 7746176 9682720 11619264 14524080 19365440 23238528 29048160 38730880 58096320 116192640