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2060182768 = 247195961269
BaseRepresentation
bin111101011001011…
…1110010011110000
312022120121010110111
41322302332103300
513204401322033
6540232511104
7102024156520
oct17262762360
95276533414
102060182768
11967a12896
12495b4b494
1326aa89577
14157883680
15c0cee7cd
hex7acbe4f0

2060182768 has 160 divisors (see below), whose sum is σ = 4981824000. Its totient is φ = 805800960.

The previous prime is 2060182763. The next prime is 2060182771. The reversal of 2060182768 is 8672810602.

It is a self number, because there is not a number n which added to its sum of digits gives 2060182768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2060182763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7658538 + ... + 7658806.

It is an arithmetic number, because the mean of its divisors is an integer number (31136400).

Almost surely, 22060182768 is an apocalyptic number.

2060182768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2060182768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490912000).

2060182768 is an abundant number, since it is smaller than the sum of its proper divisors (2921641232).

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

2060182768 is a wasteful number, since it uses less digits than its factorization.

2060182768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 2060182768 is about 45389.2362570687. The cubic root of 2060182768 is about 1272.4339559389.

The spelling of 2060182768 in words is "two billion, sixty million, one hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 61 76 112 118 122 133 152 236 244 266 269 304 413 427 472 488 532 538 826 854 944 976 1064 1076 1121 1159 1652 1708 1883 2128 2152 2242 2318 3304 3416 3599 3766 4304 4484 4636 5111 6608 6832 7198 7532 7847 8113 8968 9272 10222 14396 15064 15694 15871 16226 16409 17936 18544 20444 25193 28792 30128 31388 31742 32452 32818 35777 40888 50386 57584 62776 63484 64904 65636 68381 71554 81776 100772 111097 114863 125552 126968 129808 131272 136762 143108 201544 222194 229726 253936 262544 273524 286216 301549 311771 403088 444388 459452 478667 547048 572432 603098 623542 888776 918904 957334 968131 1094096 1206196 1247084 1777552 1837808 1914668 1936262 2110843 2182397 2412392 2494168 3829336 3872524 4221686 4364794 4824784 4988336 6776917 7658672 7745048 8443372 8729588 13553834 15490096 16886744 17459176 18394489 27107668 33773488 34918352 36788978 54215336 73577956 108430672 128761423 147155912 257522846 294311824 515045692 1030091384 2060182768