Search a number
-
+
97333280 = 25511291907
BaseRepresentation
bin1011100110100…
…11000000100000
320210011001011022
411303103000200
5144404131110
613354105012
72261214332
oct563230040
9223131138
1097333280
114aa3aa30
122871b168
131721ba75
14ccd9452
158829755
hex5cd3020

97333280 has 96 divisors (see below), whose sum is σ = 259640640. Its totient is φ = 34155520.

The previous prime is 97333277. The next prime is 97333319. The reversal of 97333280 is 8233379.

It is a self number, because there is not a number n which added to its sum of digits gives 97333280.

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, 50087 + ... + 51993.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 297333280 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 97333280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129820320).

97333280 is an abundant number, since it is smaller than the sum of its proper divisors (162307360).

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

97333280 is a wasteful number, since it uses less digits than its factorization.

97333280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 97333280 is about 9865.7630216826. The cubic root of 97333280 is about 459.9957151460.

The spelling of 97333280 in words is "ninety-seven million, three hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 1907 2320 2552 3190 3814 4640 5104 6380 7628 9535 10208 12760 15256 19070 20977 25520 30512 38140 41954 51040 55303 61024 76280 83908 104885 110606 152560 167816 209770 221212 276515 305120 335632 419540 442424 553030 608333 671264 839080 884848 1106060 1216666 1678160 1769696 2212120 2433332 3041665 3356320 4424240 4866664 6083330 8848480 9733328 12166660 19466656 24333320 48666640 97333280