Search a number
-
+
91914690 = 23572312017
BaseRepresentation
bin1010111101010…
…00000111000010
320101221202020210
411132220013002
5142012232230
613042014550
72164155600
oct536500702
9211852223
1091914690
114797995a
1226947456
13160725ba
14c2c8870
158108eb0
hex57a81c2

91914690 has 96 divisors (see below), whose sum is σ = 265019904. Its totient is φ = 20321280.

The previous prime is 91914689. The next prime is 91914703. The reversal of 91914690 is 9641919.

It is a super-2 number, since 2×919146902 = 16896620475592200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44562 + ... + 46578.

It is an arithmetic number, because the mean of its divisors is an integer number (2760624).

Almost surely, 291914690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91914690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132509952).

91914690 is an abundant number, since it is smaller than the sum of its proper divisors (173105214).

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

91914690 is a wasteful number, since it uses less digits than its factorization.

91914690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 91914690 is about 9587.2149240538. The cubic root of 91914690 is about 451.2961642240.

The spelling of 91914690 in words is "ninety-one million, nine hundred fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2017 2170 3038 3255 4034 4557 6051 6510 7595 9114 10085 12102 14119 15190 20170 22785 28238 30255 42357 45570 60510 62527 70595 84714 98833 125054 141190 187581 197666 211785 296499 312635 375162 423570 437689 494165 592998 625270 875378 937905 988330 1313067 1482495 1875810 2188445 2626134 2964990 3063823 4376890 6127646 6565335 9191469 13130670 15319115 18382938 30638230 45957345 91914690