Search a number
-
+
97654320 = 24325235897
BaseRepresentation
bin1011101001000…
…01011000110000
320210202100112200
411310201120300
5144444414240
613405023200
72264022321
oct564413060
9223670480
1097654320
115013a155
1228854b00
1317301c2a
14cd80448
15888e930
hex5d21630

97654320 has 120 divisors (see below), whose sum is σ = 342272736. Its totient is φ = 24904704.

The previous prime is 97654313. The next prime is 97654321. The reversal of 97654320 is 2345679.

97654320 is a `hidden beast` number, since 97 + 6 + 543 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97654321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13612 + ... + 19508.

Almost surely, 297654320 is an apocalyptic number.

97654320 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 97654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171136368).

97654320 is an abundant number, since it is smaller than the sum of its proper divisors (244618416).

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

97654320 is a wasteful number, since it uses less digits than its factorization.

97654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 97654320 is about 9882.0200364096. The cubic root of 97654320 is about 460.5009036329.

Adding to 97654320 its reverse (2345679), we get a palindrome (99999999).

The spelling of 97654320 in words is "ninety-seven million, six hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 5897 8280 11794 16560 17691 23588 29485 35382 47176 53073 58970 70764 88455 94352 106146 117940 135631 141528 176910 212292 235880 265365 271262 283056 353820 406893 424584 471760 530730 542524 678155 707640 813786 849168 1061460 1085048 1220679 1356310 1415280 1627572 2034465 2122920 2170096 2441358 2712620 3255144 4068930 4245840 4882716 5425240 6103395 6510288 8137860 9765432 10850480 12206790 16275720 19530864 24413580 32551440 48827160 97654320