Search a number
-
+
97289400 = 233521312473
BaseRepresentation
bin1011100110010…
…00010010111000
320210001210222010
411303020102320
5144401230100
613353125520
72260642365
oct563102270
9223053863
1097289400
114aa0aa6a
12286b98a0
1317204ac0
14ccc746c
15881b750
hex5cc84b8

97289400 has 96 divisors (see below), whose sum is σ = 324822960. Its totient is φ = 23946240.

The previous prime is 97289399. The next prime is 97289411. The reversal of 97289400 is 498279.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564 + ... + 14036.

Almost surely, 297289400 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 97289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162411480).

97289400 is an abundant number, since it is smaller than the sum of its proper divisors (227533560).

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

97289400 is a wasteful number, since it uses less digits than its factorization.

97289400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 97289400 is about 9863.5389186640. The cubic root of 97289400 is about 459.9265793342.

The spelling of 97289400 in words is "ninety-seven million, two hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 12473 24946 37419 49892 62365 74838 99784 124730 149676 162149 187095 249460 299352 311825 324298 374190 486447 498920 623650 648596 748380 810745 935475 972894 1247300 1297192 1496760 1621490 1870950 1945788 2432235 2494600 3242980 3741900 3891576 4053725 4864470 6485960 7483800 8107450 9728940 12161175 16214900 19457880 24322350 32429800 48644700 97289400