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1037412990 = 232553792753
BaseRepresentation
bin111101110101011…
…010101001111110
32200022002001002100
4331311122221332
54111034203430
6250535205530
734464602445
oct7565325176
92608061070
101037412990
11492657809
1224b5168a6
13136c09353
149bac9d5c
1561121960
hex3dd5aa7e

1037412990 has 96 divisors (see below), whose sum is σ = 2783963520. Its totient is φ = 267890688.

The previous prime is 1037412983. The next prime is 1037412997. The reversal of 1037412990 is 992147301.

It is an interprime number because it is at equal distance from previous prime (1037412983) and next prime (1037412997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037412997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375454 + ... + 378206.

It is an arithmetic number, because the mean of its divisors is an integer number (28999620).

Almost surely, 21037412990 is an apocalyptic number.

1037412990 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 1037412990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391981760).

1037412990 is an abundant number, since it is smaller than the sum of its proper divisors (1746550530).

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

1037412990 is a wasteful number, since it uses less digits than its factorization.

1037412990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1037412990 is about 32208.8961313486. The cubic root of 1037412990 is about 1012.3186250329.

The spelling of 1037412990 in words is "one billion, thirty-seven million, four hundred twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 79 90 106 158 159 237 265 318 395 474 477 530 711 790 795 954 1185 1422 1590 2370 2385 2753 3555 4187 4770 5506 7110 8259 8374 12561 13765 16518 20935 24777 25122 27530 37683 41295 41870 49554 62805 75366 82590 123885 125610 145909 188415 217487 247770 291818 376830 434974 437727 652461 729545 875454 1087435 1304922 1313181 1459090 1957383 2174870 2188635 2626362 3262305 3914766 4377270 6524610 6565905 9786915 11526811 13131810 19573830 23053622 34580433 57634055 69160866 103741299 115268110 172902165 207482598 345804330 518706495 1037412990