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97166440 = 23573783113
BaseRepresentation
bin1011100101010…
…10010001101000
320202211120022001
411302222101220
5144333311230
613350340344
72256621040
oct562522150
9222746261
1097166440
114a936648
122865a6b4
1317190b47
14cc94720
1587e50ca
hex5caa468

97166440 has 128 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 31739904.

The previous prime is 97166417. The next prime is 97166449. The reversal of 97166440 is 4466179.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 97166440.

It is not an unprimeable number, because it can be changed into a prime (97166449) 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, 859824 + ... + 859936.

It is an arithmetic number, because the mean of its divisors is an integer number (2046870).

Almost surely, 297166440 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 97166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

97166440 is an abundant number, since it is smaller than the sum of its proper divisors (164832920).

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

97166440 is a wasteful number, since it uses less digits than its factorization.

97166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 97166440 is about 9857.3038910242. The cubic root of 97166440 is about 459.7327369981.

The spelling of 97166440 in words is "ninety-seven million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 83 113 140 148 166 185 226 259 280 296 332 370 415 452 518 565 581 664 740 791 830 904 1036 1130 1162 1295 1480 1582 1660 2072 2260 2324 2590 2905 3071 3164 3320 3955 4181 4520 4648 5180 5810 6142 6328 7910 8362 9379 10360 11620 12284 15355 15820 16724 18758 20905 21497 23240 24568 29267 30710 31640 33448 37516 41810 42994 46895 58534 61420 65653 75032 83620 85988 93790 107485 117068 122840 131306 146335 167240 171976 187580 214970 234136 262612 292670 328265 347023 375160 429940 525224 585340 656530 694046 859880 1170680 1313060 1388092 1735115 2429161 2626120 2776184 3470230 4858322 6940460 9716644 12145805 13880920 19433288 24291610 48583220 97166440