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1097063040 = 273517192961
BaseRepresentation
bin100000101100011…
…1101101010000000
32211110022120120110
41001120331222000
54221322004130
6300505511320
736120611343
oct10130755200
92743276513
101097063040
11513299777
122674a2540
13146392c38
14a59b645a
15664a5ab0
hex4163da80

1097063040 has 512 divisors, whose sum is σ = 4097952000. Its totient is φ = 247726080.

The previous prime is 1097063029. The next prime is 1097063087. The reversal of 1097063040 is 403607901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1097062989 and 1097063007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17984610 + ... + 17984670.

Almost surely, 21097063040 is an apocalyptic number.

1097063040 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 1097063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048976000).

1097063040 is an abundant number, since it is smaller than the sum of its proper divisors (3000888960).

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

1097063040 is a wasteful number, since it uses less digits than its factorization.

1097063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1097063040 is about 33121.9419720523. The cubic root of 1097063040 is about 1031.3605798043.

The spelling of 1097063040 in words is "one billion, ninety-seven million, sixty-three thousand, forty".