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97835140 = 22513571659
BaseRepresentation
bin1011101010011…
…01100010000100
320211002112120201
411311031202010
5200021211030
613412540244
72265404434
oct565154204
9224075521
1097835140
1150252a97
1228921684
1317366320
14cdca2c4
1588c82ca
hex5d4d884

97835140 has 48 divisors (see below), whose sum is σ = 221981760. Its totient is φ = 36005760.

The previous prime is 97835137. The next prime is 97835147. The reversal of 97835140 is 4153879.

It is a self number, because there is not a number n which added to its sum of digits gives 97835140.

It is not an unprimeable number, because it can be changed into a prime (97835147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148131 + ... + 148789.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 297835140 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 97835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110990880).

97835140 is an abundant number, since it is smaller than the sum of its proper divisors (124146620).

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

97835140 is a wasteful number, since it uses less digits than its factorization.

97835140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 97835140 is about 9891.1647443565. The cubic root of 97835140 is about 460.7849546693.

The spelling of 97835140 in words is "ninety-seven million, eight hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 571 659 1142 1318 2284 2636 2855 3295 5710 6590 7423 8567 11420 13180 14846 17134 29692 34268 37115 42835 74230 85670 148460 171340 376289 752578 1505156 1881445 3762890 4891757 7525780 9783514 19567028 24458785 48917570 97835140