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1070407828 = 227411795209
BaseRepresentation
bin111111110011010…
…010000010010100
32202121011100111101
4333303102002110
54143011022303
6254114315444
735345213350
oct7763220224
92677140441
101070407828
114aa243276
1225a588b84
131409bc519
14a2238460
1563e8cd1d
hex3fcd2094

1070407828 has 48 divisors (see below), whose sum is σ = 2205705600. Its totient is φ = 444971520.

The previous prime is 1070407801. The next prime is 1070407829. The reversal of 1070407828 is 8287040701.

1070407828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10704078282 = 2291545836487355168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070407829) 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, 202888 + ... + 208096.

It is an arithmetic number, because the mean of its divisors is an integer number (45952200).

Almost surely, 21070407828 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 1070407828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102852800).

1070407828 is an abundant number, since it is smaller than the sum of its proper divisors (1135297772).

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

1070407828 is a wasteful number, since it uses less digits than its factorization.

1070407828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 1070407828 is about 32717.0877065793. The cubic root of 1070407828 is about 1022.9390523658.

The spelling of 1070407828 in words is "one billion, seventy million, four hundred seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 179 287 358 574 716 1148 1253 2506 5012 5209 7339 10418 14678 20836 29356 36463 51373 72926 102746 145852 205492 213569 427138 854276 932411 1494983 1864822 2989966 3729644 5979932 6526877 13053754 26107508 38228851 76457702 152915404 267601957 535203914 1070407828