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97045000 = 2354131493
BaseRepresentation
bin1011100100011…
…00101000001000
320202121101201021
411302030220020
5144320420000
613344002224
72255604013
oct562145010
9222541637
1097045000
114a863388
1228600374
131714a7a0
14cc6237a
1587be11a
hex5c8ca08

97045000 has 80 divisors (see below), whose sum is σ = 245030940. Its totient is φ = 35808000.

The previous prime is 97044953. The next prime is 97045007. The reversal of 97045000 is 54079.

It can be written as a sum of positive squares in 10 ways, for example, as 6832996 + 90212004 = 2614^2 + 9498^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (97045007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64254 + ... + 65746.

Almost surely, 297045000 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 97045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122515470).

97045000 is an abundant number, since it is smaller than the sum of its proper divisors (147985940).

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

97045000 is a wasteful number, since it uses less digits than its factorization.

97045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 97045000 is about 9851.1420657709. The cubic root of 97045000 is about 459.5411303118.

Adding to 97045000 its reverse (54079), we get a palindrome (97099079).

The spelling of 97045000 in words is "ninety-seven million, forty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1493 1625 2500 2600 2986 3250 5000 5972 6500 7465 8125 11944 13000 14930 16250 19409 29860 32500 37325 38818 59720 65000 74650 77636 97045 149300 155272 186625 194090 298600 373250 388180 485225 746500 776360 933125 970450 1493000 1866250 1940900 2426125 3732500 3881800 4852250 7465000 9704500 12130625 19409000 24261250 48522500 97045000