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207090972 = 223311296011
BaseRepresentation
bin11000101011111…
…11010100011100
3112102200022102000
430111333110130
5411003402342
632314402300
75063146524
oct1425772434
9472608360
10207090972
11a6996570
1259430390
1333b9aa4a
141d70a684
15132aa44c
hexc57f51c

207090972 has 96 divisors (see below), whose sum is σ = 606009600. Its totient is φ = 60580800.

The previous prime is 207090971. The next prime is 207090973. The reversal of 207090972 is 279090702.

It is an interprime number because it is at equal distance from previous prime (207090971) and next prime (207090973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207090971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31447 + ... + 37457.

It is an arithmetic number, because the mean of its divisors is an integer number (6312600).

Almost surely, 2207090972 is an apocalyptic number.

207090972 is a gapful number since it is divisible by the number (22) 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 207090972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303004800).

207090972 is an abundant number, since it is smaller than the sum of its proper divisors (398918628).

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

207090972 is a wasteful number, since it uses less digits than its factorization.

207090972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 207090972 is about 14390.6557182083. The cubic root of 207090972 is about 591.6348147988.

The spelling of 207090972 in words is "two hundred seven million, ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 6011 8613 11484 12022 17226 18033 24044 34452 36066 54099 66121 72132 108198 132242 162297 174319 198363 216396 264484 324594 348638 396726 522957 595089 649188 697276 793452 1045914 1190178 1568871 1785267 1917509 2091828 2380356 3137742 3570534 3835018 4706613 5752527 6275484 7141068 7670036 9413226 11505054 17257581 18826452 23010108 34515162 51772743 69030324 103545486 207090972