Search a number
-
+
97060752 = 243217311279
BaseRepresentation
bin1011100100100…
…00011110010000
320202122012022200
411302100132100
5144321421002
613344203200
72256000645
oct562203620
9222565280
1097060752
114a8741a8
1228609500
13171549c9
14cc67dcc
1587c3b1c
hex5c90790

97060752 has 120 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 29445120.

The previous prime is 97060751. The next prime is 97060753. The reversal of 97060752 is 25706079.

It is an interprime number because it is at equal distance from previous prime (97060751) and next prime (97060753).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (97060751) 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, 75249 + ... + 76527.

It is an arithmetic number, because the mean of its divisors is an integer number (2476032).

Almost surely, 297060752 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 97060752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

97060752 is an abundant number, since it is smaller than the sum of its proper divisors (200063088).

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

97060752 is a wasteful number, since it uses less digits than its factorization.

97060752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97060752 is about 9851.9415345403. The cubic root of 97060752 is about 459.5659926618.

The spelling of 97060752 in words is "ninety-seven million, sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1279 1488 1581 2108 2232 2448 2558 3162 3837 4216 4464 4743 5116 6324 7674 8432 9486 10232 11511 12648 15348 18972 20464 21743 23022 25296 30696 37944 39649 43486 46044 61392 65229 75888 79298 86972 92088 118947 130458 158596 173944 184176 195687 237894 260916 317192 347888 356841 391374 475788 521832 634384 674033 713682 782748 951576 1043664 1348066 1427364 1565496 1903152 2022099 2696132 2854728 3130992 4044198 5392264 5709456 6066297 8088396 10784528 12132594 16176792 24265188 32353584 48530376 97060752