Search a number
-
+
97114680 = 23335136917
BaseRepresentation
bin1011100100111…
…01101000111000
320202201221022000
411302131220320
5144330132210
613345301000
72256314115
oct562355070
9222657260
1097114680
114a900773
1228634760
1317173410
14cc7d90c
1587d4ac0
hex5c9da38

97114680 has 128 divisors (see below), whose sum is σ = 348667200. Its totient is φ = 23901696.

The previous prime is 97114669. The next prime is 97114697. The reversal of 97114680 is 8641179.

It is a super-2 number, since 2×971146802 = 18862522143004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10582 + ... + 17498.

Almost surely, 297114680 is an apocalyptic number.

97114680 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 97114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174333600).

97114680 is an abundant number, since it is smaller than the sum of its proper divisors (251552520).

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

97114680 is a wasteful number, since it uses less digits than its factorization.

97114680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 97114680 is about 9854.6780769338. The cubic root of 97114680 is about 459.6510901763.

It can be divided in two parts, 971 and 14680, that added together give a palindrome (15651).

The spelling of 97114680 in words is "ninety-seven million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 6917 7020 13834 14040 20751 27668 34585 41502 55336 62253 69170 83004 89921 103755 124506 138340 166008 179842 186759 207510 249012 269763 276680 311265 359684 373518 415020 449605 498024 539526 622530 719368 747036 809289 830040 899210 933795 1079052 1245060 1348815 1494072 1618578 1798420 1867590 2158104 2427867 2490120 2697630 3237156 3596840 3735180 4046445 4855734 5395260 6474312 7470360 8092890 9711468 10790520 12139335 16185780 19422936 24278670 32371560 48557340 97114680