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1070834900 = 225225494201
BaseRepresentation
bin111111110100111…
…010010011010100
32202121222001022212
4333310322103110
54143113204100
6254131412552
735351642432
oct7764722324
92677861285
101070834900
114aa505123
1225a754158
13140b0ba25
14a2309d52
1564024635
hex3fd3a4d4

1070834900 has 36 divisors (see below), whose sum is σ = 2325176700. Its totient is φ = 428064000.

The previous prime is 1070834861. The next prime is 1070834911. The reversal of 1070834900 is 94380701.

It can be written as a sum of positive squares in 6 ways, for example, as 27415696 + 1043419204 = 5236^2 + 32302^2 .

It is a super-2 number, since 2×10708349002 = 2293374766116020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252800 + ... + 257000.

Almost surely, 21070834900 is an apocalyptic number.

1070834900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070834900 is an abundant number, since it is smaller than the sum of its proper divisors (1254341800).

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

1070834900 is a wasteful number, since it uses less digits than its factorization.

1070834900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1070834900 is about 32723.6137979900. The cubic root of 1070834900 is about 1023.0750785693.

The spelling of 1070834900 in words is "one billion, seventy million, eight hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2549 4201 5098 8402 10196 12745 16804 21005 25490 42010 50980 63725 84020 105025 127450 210050 254900 420100 10708349 21416698 42833396 53541745 107083490 214166980 267708725 535417450 1070834900