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1012912830 = 233522316823
BaseRepresentation
bin111100010111111…
…101001010111110
32121120222022012000
4330113331022332
54033301202310
6244302123130
734046421426
oct7427751276
92546868160
101012912830
1147a843446
122432804a6
13131b0b807
149874d486
155ddd24c0
hex3c5fd2be

1012912830 has 64 divisors (see below), whose sum is σ = 2713374720. Its totient is φ = 268882848.

The previous prime is 1012912793. The next prime is 1012912837. The reversal of 1012912830 is 382192101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1012912794 and 1012912803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012912837) 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, 51799 + ... + 68621.

It is an arithmetic number, because the mean of its divisors is an integer number (42396480).

Almost surely, 21012912830 is an apocalyptic number.

1012912830 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 1012912830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356687360).

1012912830 is an abundant number, since it is smaller than the sum of its proper divisors (1700461890).

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

1012912830 is a wasteful number, since it uses less digits than its factorization.

1012912830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17062 (or 17056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1012912830 is about 31826.2914898987. The cubic root of 1012912830 is about 1004.2858816431.

The spelling of 1012912830 in words is "one billion, twelve million, nine hundred twelve thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 223 270 446 669 1115 1338 2007 2230 3345 4014 6021 6690 10035 12042 16823 20070 30105 33646 50469 60210 84115 100938 151407 168230 252345 302814 454221 504690 757035 908442 1514070 2271105 3751529 4542210 7503058 11254587 18757645 22509174 33763761 37515290 56272935 67527522 101291283 112545870 168818805 202582566 337637610 506456415 1012912830