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874116096 = 2103725807
BaseRepresentation
bin110100000110011…
…111010000000000
32020220210200212020
4310012133100000
53242233203341
6222423201440
730442602300
oct6406372000
92226720766
10874116096
114094633a7
122048a6280
1310c133079
148413d600
1551b17566
hex3419f400

874116096 has 132 divisors (see below), whose sum is σ = 2710686528. Its totient is φ = 249704448.

The previous prime is 874116091. The next prime is 874116101. The reversal of 874116096 is 690611478.

It is an interprime number because it is at equal distance from previous prime (874116091) and next prime (874116101).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874116091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147625 + ... + 153431.

It is an arithmetic number, because the mean of its divisors is an integer number (20535504).

Almost surely, 2874116096 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 874116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355343264).

874116096 is an abundant number, since it is smaller than the sum of its proper divisors (1836570432).

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

874116096 is a wasteful number, since it uses less digits than its factorization.

874116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 874116096 is about 29565.4544358784. The cubic root of 874116096 is about 956.1434166824.

The spelling of 874116096 in words is "eight hundred seventy-four million, one hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 5807 6272 7168 9408 10752 11614 12544 17421 18816 21504 23228 25088 34842 37632 40649 46456 50176 69684 75264 81298 92912 121947 139368 150528 162596 185824 243894 278736 284543 325192 371648 487788 557472 569086 650384 743296 853629 975576 1114944 1138172 1300768 1486592 1707258 1951152 2229888 2276344 2601536 2973184 3414516 3902304 4459776 4552688 5203072 5946368 6829032 7804608 8919552 9105376 10406144 13658064 15609216 17839104 18210752 20812288 27316128 31218432 36421504 41624576 54632256 62436864 72843008 109264512 124873728 145686016 218529024 291372032 437058048 874116096