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1351157076 = 2232172612129
BaseRepresentation
bin101000010001001…
…0000010101010100
310111011102220001200
41100202100111110
510231344011301
6342023552500
745324434313
oct12042202524
93434386050
101351157076
11633769345
123185bb730
13186c09c39
14cb63a27a
157d947c86
hex50890554

1351157076 has 108 divisors (see below), whose sum is σ = 3689360220. Its totient is φ = 416747520.

The previous prime is 1351157063. The next prime is 1351157077. The reversal of 1351157076 is 6707511531.

1351157076 is a `hidden beast` number, since 1 + 3 + 5 + 11 + 570 + 76 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24740676 + 1326416400 = 4974^2 + 36420^2 .

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 1351157076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351157077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633580 + ... + 635708.

Almost surely, 21351157076 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 1351157076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844680110).

1351157076 is an abundant number, since it is smaller than the sum of its proper divisors (2338203144).

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

1351157076 is a wasteful number, since it uses less digits than its factorization.

1351157076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 1351157076 is about 36758.0885792501. The cubic root of 1351157076 is about 1105.5251153080.

The spelling of 1351157076 in words is "one billion, three hundred fifty-one million, one hundred fifty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 289 306 366 549 578 612 732 867 1037 1098 1156 1734 2074 2129 2196 2601 3111 3468 4148 4258 5202 6222 6387 8516 9333 10404 12444 12774 17629 18666 19161 25548 35258 36193 37332 38322 52887 70516 72386 76644 105774 108579 129869 144772 158661 211548 217158 259738 317322 325737 389607 434316 519476 615281 634644 651474 779214 1168821 1230562 1302948 1558428 1845843 2207773 2337642 2461124 3691686 4415546 4675284 5537529 6623319 7383372 8831092 11075058 13246638 19869957 22150116 26493276 37532141 39739914 75064282 79479828 112596423 150128564 225192846 337789269 450385692 675578538 1351157076