Search a number
-
+
40954320 = 24325115171
BaseRepresentation
bin1001110000111…
…0100111010000
32212001200202200
42130032213100
540441014240
64021443200
71005051231
oct234164720
985050680
1040954320
1121132650
1211870500
13863c034
145621088
1538de930
hex270e9d0

40954320 has 120 divisors (see below), whose sum is σ = 150070752. Its totient is φ = 9926400.

The previous prime is 40954307. The next prime is 40954321. The reversal of 40954320 is 2345904.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40954321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5335 + ... + 10505.

Almost surely, 240954320 is an apocalyptic number.

40954320 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 40954320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75035376).

40954320 is an abundant number, since it is smaller than the sum of its proper divisors (109116432).

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

40954320 is a wasteful number, since it uses less digits than its factorization.

40954320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40954320 is about 6399.5562346150. The cubic root of 40954320 is about 344.6936158286.

The spelling of 40954320 in words is "forty million, nine hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 5171 7920 10342 15513 20684 25855 31026 41368 46539 51710 56881 62052 77565 82736 93078 103420 113762 124104 155130 170643 186156 206840 227524 232695 248208 284405 310260 341286 372312 413680 455048 465390 511929 568810 620520 682572 744624 853215 910096 930780 1023858 1137620 1241040 1365144 1706430 1861560 2047716 2275240 2559645 2730288 3412860 3723120 4095432 4550480 5119290 6825720 8190864 10238580 13651440 20477160 40954320