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397970560 = 27513311543
BaseRepresentation
bin10111101110001…
…000110010000000
31000201211222222101
4113232020302000
51303340024220
6103253520144
712601460011
oct2756106200
91021758871
10397970560
1119470a199
12b1343054
13645b0950
143abd7008
1524e1230a
hex17b88c80

397970560 has 128 divisors (see below), whose sum is σ = 1058319360. Its totient is φ = 142110720.

The previous prime is 397970537. The next prime is 397970579. The reversal of 397970560 is 65079793.

397970560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 397970560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257149 + ... + 258691.

It is an arithmetic number, because the mean of its divisors is an integer number (8268120).

Almost surely, 2397970560 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 397970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529159680).

397970560 is an abundant number, since it is smaller than the sum of its proper divisors (660348800).

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

397970560 is a wasteful number, since it uses less digits than its factorization.

397970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 46.

The square root of 397970560 is about 19949.1994826860. The cubic root of 397970560 is about 735.5580995718.

The spelling of 397970560 in words is "three hundred ninety-seven million, nine hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 260 310 320 403 416 496 520 620 640 806 832 992 1040 1240 1543 1612 1664 1984 2015 2080 2480 3086 3224 3968 4030 4160 4960 6172 6448 7715 8060 8320 9920 12344 12896 15430 16120 19840 20059 24688 25792 30860 32240 40118 47833 49376 51584 61720 64480 80236 95666 98752 100295 123440 128960 160472 191332 197504 200590 239165 246880 257920 320944 382664 401180 478330 493760 621829 641888 765328 802360 956660 987520 1243658 1283776 1530656 1604720 1913320 2487316 2567552 3061312 3109145 3209440 3826640 4974632 6122624 6218290 6418880 7653280 9949264 12436580 12837760 15306560 19898528 24873160 30613120 39797056 49746320 79594112 99492640 198985280 397970560