Search a number
-
+
97357590 = 232511432287
BaseRepresentation
bin1011100110110…
…00111100010110
320210012021111200
411303120330112
5144410420330
613354413330
72261345241
oct563307426
9223167450
1097357590
114aa57220
1228731246
1317229b55
14cd04258
158831a60
hex5cd8f16

97357590 has 96 divisors (see below), whose sum is σ = 282686976. Its totient is φ = 23042880.

The previous prime is 97357573. The next prime is 97357591. The reversal of 97357590 is 9575379.

It is a happy number.

97357590 is a `hidden beast` number, since 9 + 7 + 3 + 57 + 590 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97357591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41427 + ... + 43713.

It is an arithmetic number, because the mean of its divisors is an integer number (2944656).

Almost surely, 297357590 is an apocalyptic number.

97357590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97357590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141343488).

97357590 is an abundant number, since it is smaller than the sum of its proper divisors (185329386).

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

97357590 is a wasteful number, since it uses less digits than its factorization.

97357590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 97357590 is about 9866.9949832763. The cubic root of 97357590 is about 460.0340081977.

The spelling of 97357590 in words is "ninety-seven million, three hundred fifty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2287 2365 2838 3870 4257 4574 4730 6861 7095 8514 11435 13722 14190 20583 21285 22870 25157 34305 41166 42570 50314 68610 75471 98341 102915 125785 150942 196682 205830 226413 251570 295023 377355 452826 491705 590046 754710 885069 983410 1081751 1132065 1475115 1770138 2163502 2264130 2950230 3245253 4425345 5408755 6490506 8850690 9735759 10817510 16226265 19471518 32452530 48678795 97357590