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40066440 = 23351917573
BaseRepresentation
bin1001100011010…
…1110110001000
32210101120211020
42120311312020
540224111230
63550432440
7664362531
oct230656610
983346736
1040066440
1120686567
1211502720
1383bab6b
14546d688
1537b6810
hex2635d88

40066440 has 64 divisors (see below), whose sum is σ = 126532800. Its totient is φ = 10121472.

The previous prime is 40066427. The next prime is 40066457. The reversal of 40066440 is 4466004.

It is a super-2 number, since 2×400664402 = 3210639228547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40066440.

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, 6507 + ... + 11066.

It is an arithmetic number, because the mean of its divisors is an integer number (1977075).

Almost surely, 240066440 is an apocalyptic number.

40066440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40066440 is an abundant number, since it is smaller than the sum of its proper divisors (86466360).

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

40066440 is a wasteful number, since it uses less digits than its factorization.

40066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17606 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40066440 is about 6329.8056842213. The cubic root of 40066440 is about 342.1844359309.

The spelling of 40066440 in words is "forty million, sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 17573 35146 52719 70292 87865 105438 140584 175730 210876 263595 333887 351460 421752 527190 667774 702920 1001661 1054380 1335548 1669435 2003322 2108760 2671096 3338870 4006644 5008305 6677740 8013288 10016610 13355480 20033220 40066440