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2920329126 = 234111329697
BaseRepresentation
bin1010111000010000…
…1010111110100110
321112112010002110000
42232010022332212
521440101013001
61201440442130
7132240250041
oct25604127646
97475102400
102920329126
1112694a4550
12696019346
1337703ac00
141d9bc7c58
151215a7a86
hexae10afa6

2920329126 has 120 divisors (see below), whose sum is σ = 7730741304. Its totient is φ = 816791040.

The previous prime is 2920329107. The next prime is 2920329131. The reversal of 2920329126 is 6219230292.

2920329126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 296310 + ... + 306006.

Almost surely, 22920329126 is an apocalyptic number.

2920329126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2920329126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865370652).

2920329126 is an abundant number, since it is smaller than the sum of its proper divisors (4810412178).

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

2920329126 is a wasteful number, since it uses less digits than its factorization.

2920329126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2920329126 is about 54040.0696335599. The cubic root of 2920329126 is about 1429.3675991572.

The spelling of 2920329126 in words is "two billion, nine hundred twenty million, three hundred twenty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 169 198 234 286 297 338 351 429 507 594 702 858 891 1014 1053 1287 1521 1782 1859 2106 2574 3042 3718 3861 4563 5577 7722 9126 9697 11154 11583 13689 16731 19394 23166 27378 29091 33462 50193 58182 87273 100386 106667 126061 150579 174546 213334 252122 261819 301158 320001 378183 523638 640002 756366 785457 960003 1134549 1386671 1570914 1638793 1920006 2269098 2773342 2880009 3277586 3403647 4160013 4916379 5760018 6807294 8320026 8640027 9832758 10210941 12480039 14749137 17280054 18026723 20421882 24960078 29498274 36053446 37440117 44247411 54080169 74880234 88494822 108160338 112320351 132742233 162240507 224640702 265484466 324481014 486721521 973443042 1460164563 2920329126