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101369408 = 2671911909
BaseRepresentation
bin1100000101011…
…00011001000000
321001202002200112
412002230121000
5201422310113
614020410452
72340424430
oct602543100
9231662615
10101369408
1152247378
1229b46a28
1318002bca
14d66a2c0
158d755a8
hex60ac640

101369408 has 56 divisors (see below), whose sum is σ = 242011200. Its totient is φ = 41154048.

The previous prime is 101369399. The next prime is 101369417. The reversal of 101369408 is 804963101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101369399) and next prime (101369417).

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2558 + ... + 14466.

Almost surely, 2101369408 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 101369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121005600).

101369408 is an abundant number, since it is smaller than the sum of its proper divisors (140641792).

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

101369408 is a wasteful number, since it uses less digits than its factorization.

101369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 101369408 is about 10068.2375816227. The cubic root of 101369408 is about 466.2680278232.

The spelling of 101369408 in words is "one hundred one million, three hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 11909 23818 47636 83363 95272 166726 190544 226271 333452 381088 452542 666904 762176 905084 1333808 1583897 1810168 2667616 3167794 3620336 5335232 6335588 7240672 12671176 14481344 25342352 50684704 101369408