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97694640 = 24335311459
BaseRepresentation
bin1011101001010…
…11001110110000
320210211101212000
411310223032300
5200002212030
613405534000
72264251011
oct564531660
9223741760
1097694640
115016747a
1228874300
13173173a4
14cd91008
15889b860
hex5d2b3b0

97694640 has 160 divisors (see below), whose sum is σ = 347596800. Its totient is φ = 25194240.

The previous prime is 97694633. The next prime is 97694647. The reversal of 97694640 is 4649679.

It is an interprime number because it is at equal distance from previous prime (97694633) and next prime (97694647).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97694647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66231 + ... + 67689.

It is an arithmetic number, because the mean of its divisors is an integer number (2172480).

Almost surely, 297694640 is an apocalyptic number.

97694640 is a gapful number since it is divisible by the number (90) 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 97694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173798400).

97694640 is an abundant number, since it is smaller than the sum of its proper divisors (249902160).

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

97694640 is a wasteful number, since it uses less digits than its factorization.

97694640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97694640 is about 9884.0598945980. The cubic root of 97694640 is about 460.5642728780.

The spelling of 97694640 in words is "ninety-seven million, six hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1459 1488 1674 1860 2160 2232 2480 2790 2918 3348 3720 4185 4377 4464 5580 5836 6696 7295 7440 8370 8754 11160 11672 13131 13392 14590 16740 17508 21885 22320 23344 26262 29180 33480 35016 39393 43770 45229 52524 58360 65655 66960 70032 78786 87540 90458 105048 116720 131310 135687 157572 175080 180916 196965 210096 226145 262620 271374 315144 350160 361832 393930 407061 452290 525240 542748 630288 678435 723664 787860 814122 904580 1050480 1085496 1221183 1356870 1575720 1628244 1809160 2035305 2170992 2442366 2713740 3151440 3256488 3618320 4070610 4884732 5427480 6105915 6512976 8141220 9769464 10854960 12211830 16282440 19538928 24423660 32564880 48847320 97694640