Search a number
-
+
2131390926 = 2327231137569
BaseRepresentation
bin111111100001010…
…0111000111001110
312111112120212200200
41333002213013032
513331114002201
6551255034330
7103550344500
oct17702470716
95445525620
102131390926
119a4129605
124b596b9a6
1327c75bc82
141630dbd70
15c71b8386
hex7f0a71ce

2131390926 has 144 divisors (see below), whose sum is σ = 5595557760. Its totient is φ = 583994880.

The previous prime is 2131390879. The next prime is 2131390993. The reversal of 2131390926 is 6290931312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3745570 + ... + 3746138.

It is an arithmetic number, because the mean of its divisors is an integer number (38858040).

Almost surely, 22131390926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131390926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797778880).

2131390926 is an abundant number, since it is smaller than the sum of its proper divisors (3464166834).

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

2131390926 is a wasteful number, since it uses less digits than its factorization.

2131390926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2131390926 is about 46166.9895704712. The cubic root of 2131390926 is about 1286.9283579894.

The spelling of 2131390926 in words is "two billion, one hundred thirty-one million, three hundred ninety thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 137 147 186 217 274 279 294 411 434 441 558 569 651 822 882 959 1138 1233 1302 1519 1707 1918 1953 2466 2877 3038 3414 3906 3983 4247 4557 5121 5754 6713 7966 8494 8631 9114 10242 11949 12741 13426 13671 17262 17639 20139 23898 25482 27342 27881 29729 35278 35847 38223 40278 52917 55762 59458 60417 71694 76446 77953 83643 89187 105834 120834 123473 155906 158751 167286 178374 208103 233859 246946 250929 267561 317502 370419 416206 467718 501858 535122 545671 624309 701577 740838 864311 1091342 1111257 1248618 1403154 1637013 1728622 1872927 2222514 2416543 2592933 3274026 3745854 3819697 4833086 4911039 5185866 7249629 7639394 7778799 9822078 11459091 14499258 15557598 16915801 21748887 22918182 33831602 34377273 43497774 50747403 68754546 101494806 118410607 152242209 236821214 304484418 355231821 710463642 1065695463 2131390926