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5461200684 = 2233233170921
BaseRepresentation
bin1010001011000001…
…10100111100101100
3112002121012201222000
411011200310330230
542141031410214
62301524252300
7252222303612
oct50540647454
915077181860
105461200684
1123527839a5
121084b41090
1369057a7c4
1439b4376b2
1521e6a8809
hex145834f2c

5461200684 has 96 divisors (see below), whose sum is σ = 15251066880. Its totient is φ = 1685059200.

The previous prime is 5461200677. The next prime is 5461200691. The reversal of 5461200684 is 4860021645.

It is an interprime number because it is at equal distance from previous prime (5461200677) and next prime (5461200691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41544 + ... + 112464.

It is an arithmetic number, because the mean of its divisors is an integer number (158865280).

Almost surely, 25461200684 is an apocalyptic number.

5461200684 is a gapful number since it is divisible by the number (54) 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 5461200684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625533440).

5461200684 is an abundant number, since it is smaller than the sum of its proper divisors (9789866196).

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

5461200684 is a wasteful number, since it uses less digits than its factorization.

5461200684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70988 (or 70980 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5461200684 is about 73899.9369688500. The cubic root of 5461200684 is about 1761.0136081997.

The spelling of 5461200684 in words is "five billion, four hundred sixty-one million, two hundred thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 558 621 713 828 837 1116 1242 1426 1674 2139 2484 2852 3348 4278 6417 8556 12834 19251 25668 38502 70921 77004 141842 212763 283684 425526 638289 851052 1276578 1631183 1914867 2198551 2553156 3262366 3829734 4397102 4893549 6524732 6595653 7659468 8794204 9787098 13191306 14680647 19574196 19786959 26382612 29361294 39573918 44041941 50566673 58722588 59360877 79147836 88083882 101133346 118721754 151700019 176167764 202266692 237443508 303400038 455100057 606800076 910200114 1365300171 1820400228 2730600342 5461200684