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390674960 = 2451317191163
BaseRepresentation
bin10111010010010…
…011101000010000
31000020010100021222
4113102103220100
51300003044320
6102433304212
712452453024
oct2722235020
91006110258
10390674960
11190586975
12aaa05068
1362c28020
1439c58384
1524470825
hex17493a10

390674960 has 160 divisors (see below), whose sum is σ = 1091180160. Its totient is φ = 128507904.

The previous prime is 390674953. The next prime is 390674981. The reversal of 390674960 is 69476093.

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, 335339 + ... + 336501.

It is an arithmetic number, because the mean of its divisors is an integer number (6819876).

Almost surely, 2390674960 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 390674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545590080).

390674960 is an abundant number, since it is smaller than the sum of its proper divisors (700505200).

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

390674960 is a wasteful number, since it uses less digits than its factorization.

390674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 390674960 is about 19765.4992347778. The cubic root of 390674960 is about 731.0355977956.

The spelling of 390674960 in words is "three hundred ninety million, six hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 19 20 26 34 38 40 52 65 68 76 80 85 95 104 130 136 152 170 190 208 221 247 260 272 304 323 340 380 442 494 520 646 680 760 884 988 1040 1105 1163 1235 1292 1360 1520 1615 1768 1976 2210 2326 2470 2584 3230 3536 3952 4199 4420 4652 4940 5168 5815 6460 8398 8840 9304 9880 11630 12920 15119 16796 17680 18608 19760 19771 20995 22097 23260 25840 30238 33592 39542 41990 44194 46520 60476 67184 75595 79084 83980 88388 93040 98855 110485 120952 151190 158168 167960 176776 197710 220970 241904 257023 287261 302380 316336 335920 353552 375649 395420 441940 514046 574522 604760 751298 790840 883880 1028092 1149044 1209520 1285115 1436305 1502596 1581680 1767760 1878245 2056184 2298088 2570230 2872610 3005192 3756490 4112368 4596176 4883437 5140460 5745220 6010384 7512980 9766874 10280920 11490440 15025960 19533748 20561840 22980880 24417185 30051920 39067496 48834370 78134992 97668740 195337480 390674960