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40954920 = 2335437937
BaseRepresentation
bin1001110000111…
…0110000101000
32212001201120220
42130032300220
540441024140
64021450040
71005053046
oct234166050
985051526
1040954920
1121133046
1211870920
13863c3a6
145621396
1538debd0
hex270ec28

40954920 has 64 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 10665984.

The previous prime is 40954919. The next prime is 40954933. The reversal of 40954920 is 2945904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192 + ... + 9128.

It is an arithmetic number, because the mean of its divisors is an integer number (1964655).

Almost surely, 240954920 is an apocalyptic number.

40954920 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 40954920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868960).

40954920 is an abundant number, since it is smaller than the sum of its proper divisors (84783000).

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

40954920 is a wasteful number, since it uses less digits than its factorization.

40954920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 40954920 is about 6399.6031126938. The cubic root of 40954920 is about 344.6952991281.

The spelling of 40954920 in words is "forty million, nine hundred fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 7937 15874 23811 31748 39685 47622 63496 79370 95244 119055 158740 190488 238110 317480 341291 476220 682582 952440 1023873 1365164 1706455 2047746 2730328 3412910 4095492 5119365 6825820 8190984 10238730 13651640 20477460 40954920