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97060032 = 2635792
BaseRepresentation
bin1011100100100…
…00010011000000
320202122011100000
411302100103000
5144321410112
613344200000
72255665566
oct562202300
9222564300
1097060032
114a873703
1228609000
1317154594
14cc67a36
1587c37dc
hex5c904c0

97060032 has 126 divisors (see below), whose sum is σ = 292207188. Its totient is φ = 31943808.

The previous prime is 97060027. The next prime is 97060049. The reversal of 97060032 is 23006079.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 97059978 and 97060005.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1228569 + ... + 1228647.

Almost surely, 297060032 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 97060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146103594).

97060032 is an abundant number, since it is smaller than the sum of its proper divisors (195147156).

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

97060032 is an frugal number, since it uses more digits than its factorization.

97060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 97060032 is about 9851.9049934518. The cubic root of 97060032 is about 459.5648563002.

Multiplying 97060032 by its sum of digits (27), we get a square (2620620864 = 511922).

97060032 divided by its sum of digits (27) gives a square (3594816 = 18962).

The spelling of 97060032 in words is "ninety-seven million, sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 243 288 316 324 432 474 486 576 632 648 711 864 948 972 1264 1296 1422 1728 1896 1944 2133 2528 2592 2844 3792 3888 4266 5056 5184 5688 6241 6399 7584 7776 8532 11376 12482 12798 15168 15552 17064 18723 19197 22752 24964 25596 34128 37446 38394 45504 49928 51192 56169 68256 74892 76788 99856 102384 112338 136512 149784 153576 168507 199712 204768 224676 299568 307152 337014 399424 409536 449352 505521 599136 614304 674028 898704 1011042 1198272 1228608 1348056 1516563 1797408 2022084 2696112 3033126 3594816 4044168 5392224 6066252 8088336 10784448 12132504 16176672 24265008 32353344 48530016 97060032