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1696970240 = 2957281337
BaseRepresentation
bin110010100100101…
…1011011000000000
311101021011000112122
41211021123120000
511433411021430
6440215543412
760024003050
oct14511333000
94337130478
101696970240
117a0993949
123b438ab68
13210758504
14121537560
159dea5ee5
hex6525b600

1696970240 has 160 divisors (see below), whose sum is σ = 4680396864. Its totient is φ = 578027520.

The previous prime is 1696970227. The next prime is 1696970263. The reversal of 1696970240 is 420796961.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1696970191 and 1696970200.

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, 5035352 + ... + 5035688.

Almost surely, 21696970240 is an apocalyptic number.

1696970240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1696970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340198432).

1696970240 is an abundant number, since it is smaller than the sum of its proper divisors (2983426624).

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

1696970240 is an equidigital number, since it uses as much as digits as its factorization.

1696970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 1696970240 is about 41194.2986346412. The cubic root of 1696970240 is about 1192.7737570440.

The spelling of 1696970240 in words is "one billion, six hundred ninety-six million, nine hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 281 320 337 448 512 560 562 640 674 896 1120 1124 1280 1348 1405 1685 1792 1967 2240 2248 2359 2560 2696 2810 3370 3584 3934 4480 4496 4718 5392 5620 6740 7868 8960 8992 9436 9835 10784 11240 11795 13480 15736 17920 17984 18872 19670 21568 22480 23590 26960 31472 35968 37744 39340 43136 44960 47180 53920 62944 71936 75488 78680 86272 89920 94360 94697 107840 125888 143872 150976 157360 172544 179840 188720 189394 215680 251776 301952 314720 359680 377440 378788 431360 473485 503552 603904 629440 662879 719360 754880 757576 862720 946970 1007104 1207808 1258880 1325758 1509760 1515152 1893940 2517760 2651516 3019520 3030304 3314395 3787880 5035520 5303032 6039040 6060608 6628790 7575760 10606064 12121216 13257580 15151520 21212128 24242432 26515160 30303040 42424256 48484864 53030320 60606080 84848512 106060640 121212160 169697024 212121280 242424320 339394048 424242560 848485120 1696970240