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2073142296 = 2333113157541
BaseRepresentation
bin111101110010001…
…1010010000011000
312100110222112121000
41323210122100120
513221211023141
6541414345000
7102242263431
oct17344322030
95313875530
102073142296
11974264545
1249a35b160
13270676224
14159498488
15c200e5b6
hex7b91a418

2073142296 has 128 divisors (see below), whose sum is σ = 5857502400. Its totient is φ = 679311360.

The previous prime is 2073142271. The next prime is 2073142319. The reversal of 2073142296 is 6922413702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2073142296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3831786 + ... + 3832326.

Almost surely, 22073142296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073142296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928751200).

2073142296 is an abundant number, since it is smaller than the sum of its proper divisors (3784360104).

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

2073142296 is a wasteful number, since it uses less digits than its factorization.

2073142296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2073142296 is about 45531.7723792958. The cubic root of 2073142296 is about 1275.0964522189.

Adding to 2073142296 its reverse (6922413702), we get a palindrome (8995555998).

The spelling of 2073142296 in words is "two billion, seventy-three million, one hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 157 216 226 314 339 452 471 541 628 678 904 942 1017 1082 1256 1356 1413 1623 1884 2034 2164 2712 2826 3051 3246 3768 4068 4239 4328 4869 5652 6102 6492 8136 8478 9738 11304 12204 12984 14607 16956 17741 19476 24408 29214 33912 35482 38952 53223 58428 61133 70964 84937 106446 116856 122266 141928 159669 169874 183399 212892 244532 254811 319338 339748 366798 425784 479007 489064 509622 550197 638676 679496 733596 764433 958014 1019244 1100394 1277352 1467192 1528866 1650591 1916028 2038488 2200788 2293299 3057732 3301182 3832056 4401576 4586598 6115464 6602364 9173196 9597881 13204728 18346392 19195762 28793643 38391524 57587286 76783048 86380929 115174572 172761858 230349144 259142787 345523716 518285574 691047432 1036571148 2073142296