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1126825020 = 223551912203
BaseRepresentation
bin100001100101001…
…1111110000111100
32220112022122100000
41003022133300330
54301431400040
6303451434300
736631566066
oct10312376074
92815278300
101126825020
11529077352
12275455990
1314c5b3789
14a9922736
1568dd4130
hex4329fc3c

1126825020 has 144 divisors (see below), whose sum is σ = 3731495040. Its totient is φ = 284648256.

The previous prime is 1126825013. The next prime is 1126825027. The reversal of 1126825020 is 205286211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1126825013) and next prime (1126825027).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126825027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86239 + ... + 98441.

It is an arithmetic number, because the mean of its divisors is an integer number (25913160).

Almost surely, 21126825020 is an apocalyptic number.

1126825020 is a gapful number since it is divisible by the number (10) 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 1126825020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865747520).

1126825020 is an abundant number, since it is smaller than the sum of its proper divisors (2604670020).

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

1126825020 is a wasteful number, since it uses less digits than its factorization.

1126825020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1126825020 is about 33568.2144297250. The cubic root of 1126825020 is about 1040.6040068811.

The spelling of 1126825020 in words is "one billion, one hundred twenty-six million, eight hundred twenty-five thousand, twenty".

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 7695 9234 10260 12203 15390 18468 23085 24406 30780 36609 46170 48812 61015 73218 92340 109827 122030 146436 183045 219654 231857 244060 329481 366090 439308 463714 549135 658962 695571 732180 927428 988443 1098270 1159285 1317924 1391142 1647405 1976886 2086713 2196540 2318570 2782284 2965329 3294810 3477855 3953772 4173426 4637140 4942215 5930658 6260139 6589620 6955710 8346852 9884430 10433565 11861316 12520278 13911420 14826645 18780417 19768860 20867130 25040556 29653290 31300695 37560834 41734260 56341251 59306580 62601390 75121668 93902085 112682502 125202780 187804170 225365004 281706255 375608340 563412510 1126825020