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74455040 = 211511661
BaseRepresentation
bin1000111000000…
…01100000000000
312012002201010002
410130001200000
5123030030130
611215455132
71562600042
oct434014000
9165081102
1074455040
11390341a0
1220b274a8
131256b54a
149c61a92
15680ab45
hex4701800

74455040 has 96 divisors (see below), whose sum is σ = 195184080. Its totient is φ = 27033600.

The previous prime is 74455039. The next prime is 74455049. The reversal of 74455040 is 4055447.

It is a junction number, because it is equal to n+sod(n) for n = 74454994 and 74455012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74455049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112310 + ... + 112970.

Almost surely, 274455040 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 74455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97592040).

74455040 is an abundant number, since it is smaller than the sum of its proper divisors (120729040).

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

74455040 is a wasteful number, since it uses less digits than its factorization.

74455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 74455040 is about 8628.7333948848. The cubic root of 74455040 is about 420.6924330008.

The spelling of 74455040 in words is "seventy-four million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 661 704 880 1024 1280 1322 1408 1760 2048 2560 2644 2816 3305 3520 5120 5288 5632 6610 7040 7271 10240 10576 11264 13220 14080 14542 21152 22528 26440 28160 29084 36355 42304 52880 56320 58168 72710 84608 105760 112640 116336 145420 169216 211520 232672 290840 338432 423040 465344 581680 676864 846080 930688 1163360 1353728 1692160 1861376 2326720 3384320 3722752 4653440 6768640 7445504 9306880 14891008 18613760 37227520 74455040