Search a number
-
+
97069440 = 2735133889
BaseRepresentation
bin1011100100100…
…10100110000000
320202122122020110
411302102212000
5144322210230
613344311320
72256035166
oct562224600
9222578213
1097069440
114a87a786
1228612540
1317158950
14cc6b236
1587c64b0
hex5c92980

97069440 has 128 divisors (see below), whose sum is σ = 333295200. Its totient is φ = 23887872.

The previous prime is 97069421. The next prime is 97069451. The reversal of 97069440 is 4496079.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 23016 + ... + 26904.

Almost surely, 297069440 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 97069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166647600).

97069440 is an abundant number, since it is smaller than the sum of its proper divisors (236225760).

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

97069440 is a wasteful number, since it uses less digits than its factorization.

97069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 97069440 is about 9852.3824529907. The cubic root of 97069440 is about 459.5797043153.

The spelling of 97069440 in words is "ninety-seven million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 3889 4160 4992 6240 7778 8320 11667 12480 15556 19445 23334 24960 31112 38890 46668 50557 58335 62224 77780 93336 101114 116670 124448 151671 155560 186672 202228 233340 248896 252785 303342 311120 373344 404456 466680 497792 505570 606684 622240 746688 758355 808912 933360 1011140 1213368 1244480 1493376 1516710 1617824 1866720 2022280 2426736 2488960 3033420 3235648 3733440 4044560 4853472 6066840 6471296 7466880 8089120 9706944 12133680 16178240 19413888 24267360 32356480 48534720 97069440