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40905540 = 22335135827
BaseRepresentation
bin1001110000001…
…0101101000100
32211222012212000
42130002231010
540432434130
64020425300
71004456064
oct234025504
984865760
1040905540
11210a9a35
1211848230
138622a80
14560b3a4
1538d0260
hex2702b44

40905540 has 96 divisors (see below), whose sum is σ = 137074560. Its totient is φ = 10067328.

The previous prime is 40905539. The next prime is 40905541. The reversal of 40905540 is 4550904.

It is an interprime number because it is at equal distance from previous prime (40905539) and next prime (40905541).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40905541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4107 + ... + 9933.

It is an arithmetic number, because the mean of its divisors is an integer number (1427860).

Almost surely, 240905540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40905540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68537280).

40905540 is an abundant number, since it is smaller than the sum of its proper divisors (96169020).

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

40905540 is a wasteful number, since it uses less digits than its factorization.

40905540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 40905540 is about 6395.7438973117. The cubic root of 40905540 is about 344.5567085403.

The spelling of 40905540 in words is "forty million, nine hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 5827 7020 11654 17481 23308 29135 34962 52443 58270 69924 75751 87405 104886 116540 151502 157329 174810 209772 227253 262215 303004 314658 349620 378755 454506 524430 629316 681759 757510 786645 909012 1048860 1136265 1363518 1515020 1573290 2045277 2272530 2727036 3146580 3408795 4090554 4545060 6817590 8181108 10226385 13635180 20452770 40905540