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76374870 = 235111319937
BaseRepresentation
bin1001000110101…
…10001101010110
312022201020121220
410203112031112
5124022443440
611324551210
71615114155
oct443261526
9168636556
1076374870
113a125630
12216b2506
1312a91340
14a20159c
156a898d0
hex48d6356

76374870 has 128 divisors (see below), whose sum is σ = 226920960. Its totient is φ = 16174080.

The previous prime is 76374869. The next prime is 76374871. The reversal of 76374870 is 7847367.

It is an interprime number because it is at equal distance from previous prime (76374869) and next prime (76374871).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76374871) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 81042 + ... + 81978.

It is an arithmetic number, because the mean of its divisors is an integer number (1772820).

Almost surely, 276374870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76374870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

76374870 is an abundant number, since it is smaller than the sum of its proper divisors (150546090).

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

76374870 is a wasteful number, since it uses less digits than its factorization.

76374870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990.

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 76374870 is about 8739.2717087867. The cubic root of 76374870 is about 424.2776564839.

The spelling of 76374870 in words is "seventy-six million, three hundred seventy-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 937 1045 1235 1254 1430 1482 1874 2090 2145 2470 2717 2811 3135 3705 4290 4685 5434 5622 6270 7410 8151 9370 10307 12181 13585 14055 16302 17803 20614 24362 27170 28110 30921 35606 36543 40755 51535 53409 60905 61842 73086 81510 89015 103070 106818 121810 133991 154605 178030 182715 195833 231439 267045 267982 309210 365430 391666 401973 462878 534090 587499 669955 694317 803946 979165 1157195 1174998 1339910 1388634 1958330 2009865 2314390 2545829 2937495 3471585 4019730 5091658 5874990 6943170 7637487 12729145 15274974 25458290 38187435 76374870