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627080940 = 22355196791
BaseRepresentation
bin100101011000000…
…111111011101100
31121200222000100000
4211120013323230
52241013042230
6142120304300
721353046213
oct4530077354
91550860300
10627080940
112a1a75212
12156012090
139cbbb015
145d3d607a
153a0bbb60
hex25607eec

627080940 has 144 divisors (see below), whose sum is σ = 2076721920. Its totient is φ = 158397120.

The previous prime is 627080933. The next prime is 627080981. The reversal of 627080940 is 49080726.

It is a super-2 number, since 2×6270809402 = 786461010622567200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 627080895 and 627080904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88945 + ... + 95735.

It is an arithmetic number, because the mean of its divisors is an integer number (14421680).

Almost surely, 2627080940 is an apocalyptic number.

627080940 is a gapful number since it is divisible by the number (60) 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 627080940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038360960).

627080940 is an abundant number, since it is smaller than the sum of its proper divisors (1449640980).

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

627080940 is a wasteful number, since it uses less digits than its factorization.

627080940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 627080940 is about 25041.5842150612. The cubic root of 627080940 is about 855.9358174575.

The spelling of 627080940 in words is "six hundred twenty-seven million, eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 6791 7695 9234 10260 13582 15390 18468 20373 23085 27164 30780 33955 40746 46170 61119 67910 81492 92340 101865 122238 129029 135820 183357 203730 244476 258058 305595 366714 387087 407460 516116 550071 611190 645145 733428 774174 916785 1100142 1161261 1222380 1290290 1548348 1650213 1833570 1935435 2200284 2322522 2580580 2750355 3300426 3483783 3667140 3870870 4645044 5500710 5806305 6600852 6967566 7741740 8251065 10451349 11001420 11612610 13935132 16502130 17418915 20902698 23225220 31354047 33004260 34837830 41805396 52256745 62708094 69675660 104513490 125416188 156770235 209026980 313540470 627080940