Search a number
-
+
70958680 = 235131723349
BaseRepresentation
bin1000011101010…
…11111001011000
311221112002000021
410032223321120
5121131134210
611012520224
71521065422
oct416537130
9157462007
1070958680
1137066341
121b920074
1311915cb0
1495d1812
156369bda
hex43abe58

70958680 has 128 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 23519232.

The previous prime is 70958647. The next prime is 70958707. The reversal of 70958680 is 8685907.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203146 + ... + 203494.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 270958680 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 70958680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

70958680 is an abundant number, since it is smaller than the sum of its proper divisors (119553320).

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

70958680 is a wasteful number, since it uses less digits than its factorization.

70958680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 70958680 is about 8423.6975254338. The cubic root of 70958680 is about 414.0014313781.

The spelling of 70958680 in words is "seventy million, nine hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 23 26 34 40 46 52 65 68 85 92 104 115 130 136 170 184 221 230 260 299 340 349 391 442 460 520 598 680 698 782 884 920 1105 1196 1396 1495 1564 1745 1768 1955 2210 2392 2792 2990 3128 3490 3910 4420 4537 5083 5933 5980 6980 7820 8027 8840 9074 10166 11866 11960 13960 15640 16054 18148 20332 22685 23732 25415 29665 32108 36296 40135 40664 45370 47464 50830 59330 64216 77129 80270 90740 101660 104351 118660 136459 154258 160540 181480 203320 208702 237320 272918 308516 321080 385645 417404 521755 545836 617032 682295 771290 834808 1043510 1091672 1364590 1542580 1773967 2087020 2729180 3085160 3547934 4174040 5458360 7095868 8869835 14191736 17739670 35479340 70958680