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1100009940 = 2235192234327
BaseRepresentation
bin100000110010000…
…1101000111010100
32211122212021221220
41001210031013110
54223100304230
6301053010340
736154634031
oct10144150724
92748767856
101100009940
11514a21827
122684839b0
13146b85373
14a6142388
1566888d10
hex4190d1d4

1100009940 has 96 divisors (see below), whose sum is σ = 3257425920. Its totient is φ = 276587136.

The previous prime is 1100009929. The next prime is 1100009941. The reversal of 1100009940 is 499000011.

It is a self number, because there is not a number n which added to its sum of digits gives 1100009940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100009941) 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, 252057 + ... + 256383.

It is an arithmetic number, because the mean of its divisors is an integer number (33931520).

Almost surely, 21100009940 is an apocalyptic number.

1100009940 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 1100009940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628712960).

1100009940 is an abundant number, since it is smaller than the sum of its proper divisors (2157415980).

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

1100009940 is a wasteful number, since it uses less digits than its factorization.

1100009940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1100009940 is about 33166.3977543537. The cubic root of 1100009940 is about 1032.2832247998.

Adding to 1100009940 its reverse (499000011), we get a palindrome (1599009951).

The spelling of 1100009940 in words is "one billion, one hundred million, nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 223 228 285 380 446 570 669 892 1115 1140 1338 2230 2676 3345 4237 4327 4460 6690 8474 8654 12711 12981 13380 16948 17308 21185 21635 25422 25962 42370 43270 50844 51924 63555 64905 82213 84740 86540 127110 129810 164426 246639 254220 259620 328852 411065 493278 822130 964921 986556 1233195 1644260 1929842 2466390 2894763 3859684 4824605 4932780 5789526 9649210 11579052 14473815 18333499 19298420 28947630 36666998 55000497 57895260 73333996 91667495 110000994 183334990 220001988 275002485 366669980 550004970 1100009940