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70177104 = 2434173313
BaseRepresentation
bin1000010111011…
…01000101010000
311220001100220000
410023231011100
5120431131404
610544050000
71511331654
oct413550520
9156040800
1070177104
1136682108
121b603900
131170131a
14946aa64
156263339
hex42ed150

70177104 has 100 divisors (see below), whose sum is σ = 204939636. Its totient is φ = 23182848.

The previous prime is 70177067. The next prime is 70177109. The reversal of 70177104 is 40177107.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 42928704 = 5220^2 + 6552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70177109) 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 19 ways as a sum of consecutive naturals, for example, 224052 + ... + 224364.

Almost surely, 270177104 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 70177104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102469818).

70177104 is an abundant number, since it is smaller than the sum of its proper divisors (134762532).

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

70177104 is a wasteful number, since it uses less digits than its factorization.

70177104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 70177104 is about 8377.1775676537. The cubic root of 70177104 is about 412.4758068456.

The spelling of 70177104 in words is "seventy million, one hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 313 324 346 432 519 626 648 692 939 1038 1252 1296 1384 1557 1878 2076 2504 2768 2817 3114 3756 4152 4671 5008 5634 6228 7512 8304 8451 9342 11268 12456 14013 15024 16902 18684 22536 24912 25353 28026 33804 37368 45072 50706 54149 56052 67608 74736 101412 108298 112104 135216 162447 202824 216596 224208 324894 405648 433192 487341 649788 866384 974682 1299576 1462023 1949364 2599152 2924046 3898728 4386069 5848092 7797456 8772138 11696184 17544276 23392368 35088552 70177104