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40954720 = 2552331359
BaseRepresentation
bin1001110000111…
…0101101100000
32212001201022111
42130032231200
540441022340
64021445104
71005052342
oct234165540
985051274
1040954720
1121132984
1211870794
13863c281
145621292
1538deaea
hex270eb60

40954720 has 96 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 15121920.

The previous prime is 40954691. The next prime is 40954723. The reversal of 40954720 is 2745904.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40954723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113901 + ... + 114259.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 240954720 is an apocalyptic number.

40954720 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 40954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

40954720 is an abundant number, since it is smaller than the sum of its proper divisors (63554720).

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

40954720 is a wasteful number, since it uses less digits than its factorization.

40954720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 40954720 is about 6399.5874867057. The cubic root of 40954720 is about 344.6947380301.

The spelling of 40954720 in words is "forty million, nine hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 80 92 115 124 155 160 184 230 248 310 359 368 460 496 620 713 718 736 920 992 1240 1426 1436 1795 1840 2480 2852 2872 3565 3590 3680 4960 5704 5744 7130 7180 8257 11129 11408 11488 14260 14360 16514 22258 22816 28520 28720 33028 41285 44516 55645 57040 57440 66056 82570 89032 111290 114080 132112 165140 178064 222580 255967 264224 330280 356128 445160 511934 660560 890320 1023868 1279835 1321120 1780640 2047736 2559670 4095472 5119340 8190944 10238680 20477360 40954720