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74683680 = 2535192431
BaseRepresentation
bin1000111001110…
…01010100100000
312012112022202020
410130321110200
5123104334210
611224421440
71564541451
oct434712440
9165468666
1074683680
113917aa55
1221017880
131261b636
149cc1128
156853770
hex4739520

74683680 has 144 divisors (see below), whose sum is σ = 248863104. Its totient is φ = 18823680.

The previous prime is 74683663. The next prime is 74683709. The reversal of 74683680 is 8638647.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173065 + ... + 173495.

It is an arithmetic number, because the mean of its divisors is an integer number (1728216).

Almost surely, 274683680 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 74683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552).

74683680 is an abundant number, since it is smaller than the sum of its proper divisors (174179424).

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

74683680 is a wasteful number, since it uses less digits than its factorization.

74683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 74683680 is about 8641.9719971775. The cubic root of 74683680 is about 421.1226202516.

The spelling of 74683680 in words is "seventy-four million, six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 361 380 431 456 480 570 608 722 760 862 912 1083 1140 1293 1444 1520 1724 1805 1824 2155 2166 2280 2586 2888 3040 3448 3610 4310 4332 4560 5172 5415 5776 6465 6896 7220 8189 8620 8664 9120 10344 10830 11552 12930 13792 14440 16378 17240 17328 20688 21660 24567 25860 28880 32756 34480 34656 40945 41376 43320 49134 51720 57760 65512 68960 81890 86640 98268 103440 122835 131024 155591 163780 173280 196536 206880 245670 262048 311182 327560 393072 466773 491340 622364 655120 777955 786144 933546 982680 1244728 1310240 1555910 1867092 1965360 2333865 2489456 3111820 3734184 3930720 4667730 4978912 6223640 7468368 9335460 12447280 14936736 18670920 24894560 37341840 74683680