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101274944 = 265373409
BaseRepresentation
bin1100000100101…
…01010101000000
321001120022002212
412002111111000
5201411244234
614014401252
72336552141
oct602252500
9231508085
10101274944
1152192401
1229b00228
1317c9bc04
14d643ac8
158d575ce
hex6095540

101274944 has 56 divisors (see below), whose sum is σ = 208071720. Its totient is φ = 48881664.

The previous prime is 101274941. The next prime is 101274947. The reversal of 101274944 is 449472101.

It is an interprime number because it is at equal distance from previous prime (101274941) and next prime (101274947).

It can be written as a sum of positive squares in 4 ways, for example, as 50580544 + 50694400 = 7112^2 + 7120^2 .

It is a super-2 number, since 2×1012749442 = 20513228564406272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a cake number, because a cake can be divided into 101274944 parts by 847 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 101274944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101274941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247412 + ... + 247820.

Almost surely, 2101274944 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 101274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104035860).

101274944 is an abundant number, since it is smaller than the sum of its proper divisors (106796776).

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

101274944 is an equidigital number, since it uses as much as digits as its factorization.

101274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 101274944 is about 10063.5452997440. The cubic root of 101274944 is about 466.1231477171.

The spelling of 101274944 in words is "one hundred one million, two hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 73 106 146 212 292 409 424 584 818 848 1168 1636 1696 2336 3272 3392 3869 4672 6544 7738 13088 15476 21677 26176 29857 30952 43354 59714 61904 86708 119428 123808 173416 238856 247616 346832 477712 693664 955424 1387328 1582421 1910848 3164842 6329684 12659368 25318736 50637472 101274944