Search a number
-
+
97073964 = 223413191213
BaseRepresentation
bin1011100100100…
…11101100101100
320202122212110000
411302103230230
5144322331324
613344344300
72256054321
oct562235454
9222585400
1097073964
114a883119
1228615090
131715aa20
14cc6cb48
1587c79c9
hex5c93b2c

97073964 has 120 divisors (see below), whose sum is σ = 287912240. Its totient is φ = 28273536.

The previous prime is 97073957. The next prime is 97073981. The reversal of 97073964 is 46937079.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79422 + ... + 80634.

Almost surely, 297073964 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 97073964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143956120).

97073964 is an abundant number, since it is smaller than the sum of its proper divisors (190838276).

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

97073964 is a wasteful number, since it uses less digits than its factorization.

97073964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 97073964 is about 9852.6120394543. The cubic root of 97073964 is about 459.5868438994.

The spelling of 97073964 in words is "ninety-seven million, seventy-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1213 1404 1482 1539 2052 2106 2223 2426 2964 3078 3639 4212 4446 4852 6156 6669 7278 8892 10917 13338 14556 15769 20007 21834 23047 26676 31538 32751 40014 43668 46094 47307 63076 65502 69141 80028 92188 94614 98253 131004 138282 141921 189228 196506 207423 276564 283842 299611 393012 414846 425763 567684 599222 622269 829692 851526 898833 1198444 1244538 1277289 1703052 1797666 1866807 2489076 2554578 2696499 3595332 3733614 5109156 5392998 7467228 8089497 10785996 16178994 24268491 32357988 48536982 97073964