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40927440 = 2435315501
BaseRepresentation
bin1001110000100…
…0000011010000
32212000022220010
42130020003100
540434134230
64021114520
71004606661
oct234100320
985008803
1040927440
1121114434
1211858a40
13862ca28
145615368
1538d69b0
hex27080d0

40927440 has 80 divisors (see below), whose sum is σ = 130991616. Its totient is φ = 10560000.

The previous prime is 40927433. The next prime is 40927457. The reversal of 40927440 is 4472904.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 40927398 and 40927407.

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, 4690 + ... + 10190.

Almost surely, 240927440 is an apocalyptic number.

40927440 is a gapful number since it is divisible by the number (40) 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 40927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65495808).

40927440 is an abundant number, since it is smaller than the sum of its proper divisors (90064176).

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

40927440 is a wasteful number, since it uses less digits than its factorization.

40927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 40927440 is about 6397.4557442783. The cubic root of 40927440 is about 344.6181871379.

The spelling of 40927440 in words is "forty million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 5501 7440 11002 16503 22004 27505 33006 44008 55010 66012 82515 88016 110020 132024 165030 170531 220040 264048 330060 341062 440080 511593 660120 682124 852655 1023186 1320240 1364248 1705310 2046372 2557965 2728496 3410620 4092744 5115930 6821240 8185488 10231860 13642480 20463720 40927440