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76081005 = 33571113563
BaseRepresentation
bin1001000100011…
…10011101101101
312022011022112000
410202032131231
5123434043010
611314402513
71612451340
oct442163555
9168138460
1076081005
1139a44870
1221590439
13129ba660
14a166457
156a2c7c0
hex488e76d

76081005 has 128 divisors (see below), whose sum is σ = 181923840. Its totient is φ = 29134080.

The previous prime is 76081003. The next prime is 76081013. The reversal of 76081005 is 50018067.

It is not a de Polignac number, because 76081005 - 21 = 76081003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 76081005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76081003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134854 + ... + 135416.

It is an arithmetic number, because the mean of its divisors is an integer number (1421280).

Almost surely, 276081005 is an apocalyptic number.

It is an amenable number.

76081005 is an abundant number, since it is smaller than the sum of its proper divisors (105842835).

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

76081005 is a wasteful number, since it uses less digits than its factorization.

76081005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 76081005 is about 8722.4426051422. The cubic root of 76081005 is about 423.7327974848.

The spelling of 76081005 in words is "seventy-six million, eighty-one thousand, five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 429 455 495 563 585 693 715 819 945 1001 1155 1287 1365 1485 1689 1755 2079 2145 2457 2815 3003 3465 3861 3941 4095 5005 5067 6193 6435 7319 8445 9009 10395 11823 12285 15015 15201 18579 19305 19705 21957 25335 27027 30965 35469 36595 43351 45045 51233 55737 59115 65871 76005 80509 92895 106407 109785 130053 135135 153699 167211 177345 197613 216755 241527 256165 278685 329355 390159 402545 461097 532035 563563 650265 724581 768495 836055 988065 1170477 1207635 1383291 1690689 1950795 2173743 2305485 2817815 3622905 5072067 5852385 6916455 8453445 10868715 15216201 25360335 76081005