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1330122990 = 235729375903
BaseRepresentation
bin100111101001000…
…0001000011101110
310102200212020201110
41033102001003232
510211002413430
6335553052450
744650600410
oct11722010356
93380766643
101330122990
116229020a9
12311557126
13182753c31
14c89229b0
157bb907b0
hex4f4810ee

1330122990 has 128 divisors (see below), whose sum is σ = 3876802560. Its totient is φ = 285562368.

The previous prime is 1330122979. The next prime is 1330123001. The reversal of 1330122990 is 992210331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1330122979) and next prime (1330123001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222379 + ... + 228281.

It is an arithmetic number, because the mean of its divisors is an integer number (30287520).

Almost surely, 21330122990 is an apocalyptic number.

1330122990 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 1330122990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938401280).

1330122990 is an abundant number, since it is smaller than the sum of its proper divisors (2546679570).

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

1330122990 is a wasteful number, since it uses less digits than its factorization.

1330122990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1330122990 is about 36470.8512376665. The cubic root of 1330122990 is about 1099.7583463652.

The spelling of 1330122990 in words is "one billion, three hundred thirty million, one hundred twenty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 37 42 58 70 74 87 105 111 145 174 185 203 210 222 259 290 370 406 435 518 555 609 777 870 1015 1073 1110 1218 1295 1554 2030 2146 2590 3045 3219 3885 5365 5903 6090 6438 7511 7770 10730 11806 15022 16095 17709 22533 29515 32190 35418 37555 41321 45066 59030 75110 82642 88545 112665 123963 171187 177090 206605 218411 225330 247926 342374 413210 436822 513561 619815 655233 855935 1027122 1092055 1198309 1239630 1310466 1528877 1711870 2184110 2396618 2567805 3057754 3276165 3594927 4586631 5135610 5991545 6333919 6552330 7189854 7644385 9173262 11983090 12667838 15288770 17974635 19001757 22933155 31669595 35949270 38003514 44337433 45866310 63339190 88674866 95008785 133012299 190017570 221687165 266024598 443374330 665061495 1330122990