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74140416 = 283274597
BaseRepresentation
bin1000110101101…
…00101100000000
312011111201112100
410122310230000
5122434443131
611205030400
71560116550
oct432645400
9164451470
1074140416
1138939879
12209b5400
131248b28c
149bbd160
1567977e6
hex46b4b00

74140416 has 108 divisors (see below), whose sum is σ = 244356112. Its totient is φ = 21178368.

The previous prime is 74140399. The next prime is 74140421. The reversal of 74140416 is 61404147.

It is a self number, because there is not a number n which added to its sum of digits gives 74140416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13830 + ... + 18426.

Almost surely, 274140416 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 74140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122178056).

74140416 is an abundant number, since it is smaller than the sum of its proper divisors (170215696).

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

74140416 is a wasteful number, since it uses less digits than its factorization.

74140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74140416 is about 8610.4829132866. The cubic root of 74140416 is about 420.0990242701.

The spelling of 74140416 in words is "seventy-four million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 4597 5376 8064 9194 13791 16128 18388 27582 32179 36776 41373 55164 64358 73552 82746 96537 110328 128716 147104 165492 193074 220656 257432 289611 294208 330984 386148 441312 514864 579222 588416 661968 772296 882624 1029728 1158444 1176832 1323936 1544592 1765248 2059456 2316888 2647872 3089184 3530496 4118912 4633776 5295744 6178368 8237824 9267552 10591488 12356736 18535104 24713472 37070208 74140416