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97000020 = 223251341453
BaseRepresentation
bin1011100100000…
…01101001010100
320202112010000100
411302001221110
5144313000040
613343014100
72255325615
oct562015124
9222463010
1097000020
114a832607
122859a330
1317133180
14cc4dc0c
1587b0b30
hex5c81a54

97000020 has 72 divisors (see below), whose sum is σ = 316874376. Its totient is φ = 23876352.

The previous prime is 97000019. The next prime is 97000021. The reversal of 97000020 is 2000079.

It is an interprime number because it is at equal distance from previous prime (97000019) and next prime (97000021).

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 95531076 = 1212^2 + 9774^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 96999957 and 97000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97000021) 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, 18387 + ... + 23066.

It is an arithmetic number, because the mean of its divisors is an integer number (4401033).

Almost surely, 297000020 is an apocalyptic number.

97000020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97000020 is an abundant number, since it is smaller than the sum of its proper divisors (219874356).

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

97000020 is a wasteful number, since it uses less digits than its factorization.

97000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41481 (or 41476 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 97000020 is about 9848.8588171422. The cubic root of 97000020 is about 459.4701207994.

Adding to 97000020 its reverse (2000079), we get a palindrome (99000099).

The spelling of 97000020 in words is "ninety-seven million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 41453 82906 124359 165812 207265 248718 373077 414530 497436 538889 621795 746154 829060 1077778 1243590 1492308 1616667 1865385 2155556 2487180 2694445 3233334 3730770 4850001 5388890 6466668 7461540 8083335 9700002 10777780 16166670 19400004 24250005 32333340 48500010 97000020