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74668880 = 245111361107
BaseRepresentation
bin1000111001101…
…01101101010000
312012111120110002
410130311231100
5123103401010
611224225132
71564450346
oct434655520
9165446402
1074668880
113916a920
122100b1a8
1312614990
149cb9996
15684e1a5
hex4735b50

74668880 has 160 divisors (see below), whose sum is σ = 209236608. Its totient is φ = 24422400.

The previous prime is 74668861. The next prime is 74668889. The reversal of 74668880 is 8886647.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74668889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697787 + ... + 697893.

Almost surely, 274668880 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 74668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104618304).

74668880 is an abundant number, since it is smaller than the sum of its proper divisors (134567728).

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

74668880 is a wasteful number, since it uses less digits than its factorization.

74668880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 74668880 is about 8641.1156687085. The cubic root of 74668880 is about 421.0948005792.

The spelling of 74668880 in words is "seventy-four million, six hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 61 65 80 88 104 107 110 122 130 143 176 208 214 220 244 260 286 305 428 440 488 520 535 572 610 671 715 793 856 880 976 1040 1070 1144 1177 1220 1342 1391 1430 1586 1712 2140 2288 2354 2440 2684 2782 2860 3172 3355 3965 4280 4708 4880 5368 5564 5720 5885 6344 6527 6710 6955 7930 8560 8723 9416 10736 11128 11440 11770 12688 13054 13420 13910 15301 15860 17446 18832 22256 23540 26108 26840 27820 30602 31720 32635 34892 43615 47080 52216 53680 55640 61204 63440 65270 69784 71797 76505 84851 87230 94160 104432 111280 122408 130540 139568 143594 153010 169702 174460 244816 261080 287188 306020 339404 348920 358985 424255 522160 574376 612040 678808 697840 717970 848510 933361 1148752 1224080 1357616 1435940 1697020 1866722 2871880 3394040 3733444 4666805 5743760 6788080 7466888 9333610 14933776 18667220 37334440 74668880