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1072000770 = 235317914591
BaseRepresentation
bin111111111001010…
…110111100000010
32202201011021121020
4333321112330002
54143413011040
6254212410310
735364566451
oct7771267402
92681137536
101072000770
11500131055
1225b016996
131411295a9
14a2530b98
15641a4cd0
hex3fe56f02

1072000770 has 64 divisors (see below), whose sum is σ = 2689597440. Its totient is φ = 273124800.

The previous prime is 1072000759. The next prime is 1072000771. The reversal of 1072000770 is 770002701.

It is a super-2 number, since 2×10720007702 = 2298371301761185800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072000770.

It is not an unprimeable number, because it can be changed into a prime (1072000771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66175 + ... + 80765.

It is an arithmetic number, because the mean of its divisors is an integer number (42024960).

Almost surely, 21072000770 is an apocalyptic number.

1072000770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072000770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344798720).

1072000770 is an abundant number, since it is smaller than the sum of its proper divisors (1617596670).

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

1072000770 is a wasteful number, since it uses less digits than its factorization.

1072000770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14711.

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 1072000770 is about 32741.4228462967. The cubic root of 1072000770 is about 1023.4462344238.

The spelling of 1072000770 in words is "one billion, seventy-two million, seven hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 79 93 155 158 186 237 310 395 465 474 790 930 1185 2370 2449 4898 7347 12245 14591 14694 24490 29182 36735 43773 72955 73470 87546 145910 218865 437730 452321 904642 1152689 1356963 2261605 2305378 2713926 3458067 4523210 5763445 6784815 6916134 11526890 13569630 17290335 34580670 35733359 71466718 107200077 178666795 214400154 357333590 536000385 1072000770