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97001712 = 243561409
BaseRepresentation
bin1011100100000…
…10000011110000
320202112012100000
411302002003300
5144313023322
613343030000
72255333553
oct562020360
9222465300
1097001712
114a833905
122859b300
1317133b82
14cc5069a
1587b13ac
hex5c820f0

97001712 has 120 divisors (see below), whose sum is σ = 286839280. Its totient is φ = 31726080.

The previous prime is 97001699. The next prime is 97001717. The reversal of 97001712 is 21710079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97001717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236964 + ... + 237372.

Almost surely, 297001712 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 97001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143419640).

97001712 is an abundant number, since it is smaller than the sum of its proper divisors (189837568).

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

97001712 is a wasteful number, since it uses less digits than its factorization.

97001712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 97001712 is about 9848.9447150443. The cubic root of 97001712 is about 459.4727923415.

The spelling of 97001712 in words is "ninety-seven million, one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 409 432 486 488 549 648 732 818 972 976 1098 1227 1296 1464 1636 1647 1944 2196 2454 2928 3272 3294 3681 3888 4392 4908 4941 6544 6588 7362 8784 9816 9882 11043 13176 14724 14823 19632 19764 22086 24949 26352 29448 29646 33129 39528 44172 49898 58896 59292 66258 74847 79056 88344 99387 99796 118584 132516 149694 176688 198774 199592 224541 237168 265032 299388 397548 399184 449082 530064 598776 673623 795096 898164 1197552 1347246 1590192 1796328 2020869 2694492 3592656 4041738 5388984 6062607 8083476 10777968 12125214 16166952 24250428 32333904 48500856 97001712