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1097361720 = 23325713194143
BaseRepresentation
bin100000101101000…
…0110100100111000
32211110212202021200
41001122012210320
54221411033340
6300520134200
736123264210
oct10132064470
92743782250
101097361720
11513483114
12267607360
13146468b80
14a5a53240
1566514330
hex41686938

1097361720 has 768 divisors, whose sum is σ = 4843238400. Its totient is φ = 209018880.

The previous prime is 1097361689. The next prime is 1097361721. The reversal of 1097361720 is 271637901.

It is a happy number.

1097361720 is a `hidden beast` number, since 10 + 9 + 7 + 3 + 617 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097361721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25520019 + ... + 25520061.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 21097361720 is an apocalyptic number.

1097361720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097361720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

1097361720 is an abundant number, since it is smaller than the sum of its proper divisors (3745876680).

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

1097361720 is a wasteful number, since it uses less digits than its factorization.

1097361720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1097361720 is about 33126.4504588101. The cubic root of 1097361720 is about 1031.4541687216.

The spelling of 1097361720 in words is "one billion, ninety-seven million, three hundred sixty-one thousand, seven hundred twenty".