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2076190032 = 243731474241
BaseRepresentation
bin111101111000000…
…0010010101010000
312100200201101022010
41323300002111100
513223001040112
6542003542520
7102310216110
oct17360022520
95320641263
102076190032
11975a56334
1249b38aa40
132711a2517
14159a4d040
15c241263c
hex7bc02550

2076190032 has 160 divisors (see below), whose sum is σ = 6463586304. Its totient is φ = 561715200.

The previous prime is 2076189977. The next prime is 2076190043. The reversal of 2076190032 is 2300916702.

It is a super-2 number, since 2×20761900322 = 8621130097952322048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487432 + ... + 491672.

Almost surely, 22076190032 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 2076190032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231793152).

2076190032 is an abundant number, since it is smaller than the sum of its proper divisors (4387396272).

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

2076190032 is a wasteful number, since it uses less digits than its factorization.

2076190032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2076190032 is about 45565.2283216051. The cubic root of 2076190032 is about 1275.7209879892.

The spelling of 2076190032 in words is "two billion, seventy-six million, one hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 56 62 84 93 94 112 124 141 168 186 188 217 248 282 329 336 372 376 434 496 564 651 658 744 752 868 987 1128 1302 1316 1457 1488 1736 1974 2256 2604 2632 2914 3472 3948 4241 4371 5208 5264 5828 7896 8482 8742 10199 10416 11656 12723 15792 16964 17484 20398 23312 25446 29687 30597 33928 34968 40796 50892 59374 61194 67856 69936 81592 89061 101784 118748 122388 131471 163184 178122 199327 203568 237496 244776 262942 356244 394413 398654 474992 489552 525884 597981 712488 788826 797308 920297 1051768 1195962 1395289 1424976 1577652 1594616 1840594 2103536 2391924 2760891 2790578 3155304 3189232 3681188 4185867 4783848 5521782 5581156 6179137 6310608 7362376 8371734 9567696 11043564 11162312 12358274 14724752 16743468 18537411 22087128 22324624 24716548 33486936 37074822 43253959 44174256 49433096 66973872 74149644 86507918 98866192 129761877 148299288 173015836 259523754 296598576 346031672 519047508 692063344 1038095016 2076190032