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914387040 = 253257212959
BaseRepresentation
bin110110100000000…
…111000001100000
32100201120200012200
4312200013001200
53333040341130
6230422253200
731442106300
oct6640070140
92321520180
10914387040
1142a169576
12216287200
13117593028
1489623600
155541e760
hex36807060

914387040 has 216 divisors, whose sum is σ = 3630070080. Its totient is φ = 208986624.

The previous prime is 914387003. The next prime is 914387077. The reversal of 914387040 is 40783419.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (914387003) and next prime (914387077).

It is a super-2 number, since 2×9143870402 = 1672207317839923200, which contains 22 as substring.

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 = 914386986 and 914387004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64081 + ... + 77039.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2914387040 is an apocalyptic number.

914387040 is a gapful number since it is divisible by the number (90) 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 914387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815035040).

914387040 is an abundant number, since it is smaller than the sum of its proper divisors (2715683040).

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

914387040 is a wasteful number, since it uses less digits than its factorization.

914387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12994 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 914387040 is about 30238.8333108273. The cubic root of 914387040 is about 970.6068544670.

The spelling of 914387040 in words is "nine hundred fourteen million, three hundred eighty-seven thousand, forty".