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116262400 = 295231293
BaseRepresentation
bin1101110111000…
…00011000000000
322002202202000211
412323200120000
5214230344100
615311523504
72611133302
oct673403000
9262682024
10116262400
115a699731
1232b29594
131b118927
1411625972
15a3181ba
hex6ee0600

116262400 has 120 divisors (see below), whose sum is σ = 298355904. Its totient is φ = 44851200.

The previous prime is 116262397. The next prime is 116262403. The reversal of 116262400 is 4262611.

It is an interprime number because it is at equal distance from previous prime (116262397) and next prime (116262403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116262403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396654 + ... + 396946.

Almost surely, 2116262400 is an apocalyptic number.

116262400 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 116262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149177952).

116262400 is an abundant number, since it is smaller than the sum of its proper divisors (182093504).

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

116262400 is an equidigital number, since it uses as much as digits as its factorization.

116262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 116262400 is about 10782.5043473212. The cubic root of 116262400 is about 488.0673561063.

The spelling of 116262400 in words is "one hundred sixteen million, two hundred sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 293 310 320 400 496 512 586 620 640 775 800 992 1172 1240 1280 1465 1550 1600 1984 2344 2480 2560 2930 3100 3200 3968 4688 4960 5860 6200 6400 7325 7936 9083 9376 9920 11720 12400 12800 14650 15872 18166 18752 19840 23440 24800 29300 36332 37504 39680 45415 46880 49600 58600 72664 75008 79360 90830 93760 99200 117200 145328 150016 181660 187520 198400 227075 234400 290656 363320 375040 396800 454150 468800 581312 726640 750080 908300 937600 1162624 1453280 1816600 1875200 2325248 2906560 3633200 3750400 4650496 5813120 7266400 11626240 14532800 23252480 29065600 58131200 116262400