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40067430 = 23513711447
BaseRepresentation
bin1001100011011…
…0000101100110
32210101122011220
42120312011212
540224124210
63550441210
7664365444
oct230660546
983348156
1040067430
1120687287
1211503206
1383bb450
14546db94
1537b6c70
hex2636166

40067430 has 64 divisors (see below), whose sum is σ = 105090048. Its totient is φ = 9717120.

The previous prime is 40067429. The next prime is 40067459. The reversal of 40067430 is 3476004.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40067430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26967 + ... + 28413.

It is an arithmetic number, because the mean of its divisors is an integer number (1642032).

Almost surely, 240067430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40067430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52545024).

40067430 is an abundant number, since it is smaller than the sum of its proper divisors (65022618).

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

40067430 is a wasteful number, since it uses less digits than its factorization.

40067430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 40067430 is about 6329.8838851909. The cubic root of 40067430 is about 342.1872542481.

The spelling of 40067430 in words is "forty million, sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1447 1846 2130 2769 2894 4341 4615 5538 7235 8682 9230 13845 14470 18811 21705 27690 37622 43410 56433 94055 102737 112866 188110 205474 282165 308211 513685 564330 616422 1027370 1335581 1541055 2671162 3082110 4006743 6677905 8013486 13355810 20033715 40067430