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1070677104 = 24373738543
BaseRepresentation
bin111111110100010…
…011110001110000
32202121200000212120
4333310103301300
54143043131404
6254124154240
735350414410
oct7764236160
92677600776
101070677104
114aa407612
1225a698980
13140a84c63
14a22a8640
1563ee29d9
hex3fd13c70

1070677104 has 80 divisors (see below), whose sum is σ = 3169892352. Its totient is φ = 305051904.

The previous prime is 1070677099. The next prime is 1070677109. The reversal of 1070677104 is 4017760701.

It is an interprime number because it is at equal distance from previous prime (1070677099) and next prime (1070677109).

It is a super-2 number, since 2×10706771042 = 2292698922059653632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070677109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121057 + ... + 129599.

Almost surely, 21070677104 is an apocalyptic number.

1070677104 is a gapful number since it is divisible by the number (14) 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 1070677104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584946176).

1070677104 is an abundant number, since it is smaller than the sum of its proper divisors (2099215248).

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

1070677104 is a wasteful number, since it uses less digits than its factorization.

1070677104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 1070677104 is about 32721.2026673837. The cubic root of 1070677104 is about 1023.0248233633.

The spelling of 1070677104 in words is "one billion, seventy million, six hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 373 746 1119 1492 2238 2611 2984 4476 5222 5968 7833 8543 8952 10444 15666 17086 17904 20888 25629 31332 34172 41776 51258 59801 62664 68344 102516 119602 125328 136688 179403 205032 239204 358806 410064 478408 717612 956816 1435224 2870448 3186539 6373078 9559617 12746156 19119234 22305773 25492312 38238468 44611546 50984624 66917319 76476936 89223092 133834638 152953872 178446184 267669276 356892368 535338552 1070677104