Search a number
-
+
76470680 = 235111329461
BaseRepresentation
bin1001000111011…
…01100110011000
312022220010001102
410203231212120
5124034030210
611331010532
71615663406
oct443554630
9168803042
1076470680
113a190610
1221739a48
1312ac5b30
14a228476
156aa7ea5
hex48ed998

76470680 has 128 divisors (see below), whose sum is σ = 209563200. Its totient is φ = 24729600.

The previous prime is 76470677. The next prime is 76470697. The reversal of 76470680 is 8607467.

It is a congruent number.

It is an unprimeable number.

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, 165650 + ... + 166110.

Almost surely, 276470680 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 76470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

76470680 is an abundant number, since it is smaller than the sum of its proper divisors (133092520).

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

76470680 is a wasteful number, since it uses less digits than its factorization.

76470680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 76470680 is about 8744.7515687983. The cubic root of 76470680 is about 424.4549969102.

The spelling of 76470680 in words is "seventy-six million, four hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 29 40 44 52 55 58 65 88 104 110 116 130 143 145 220 232 260 286 290 319 377 440 461 520 572 580 638 715 754 922 1144 1160 1276 1430 1508 1595 1844 1885 2305 2552 2860 3016 3190 3688 3770 4147 4610 5071 5720 5993 6380 7540 8294 9220 10142 11986 12760 13369 15080 16588 18440 20284 20735 23972 25355 26738 29965 33176 40568 41470 47944 50710 53476 59930 65923 66845 82940 101420 106952 119860 131846 133690 147059 165880 173797 202840 239720 263692 267380 294118 329615 347594 527384 534760 588236 659230 695188 735295 868985 1176472 1318460 1390376 1470590 1737970 1911767 2636920 2941180 3475940 3823534 5882360 6951880 7647068 9558835 15294136 19117670 38235340 76470680