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1100020992 = 2837229231
BaseRepresentation
bin100000110010000…
…1111110100000000
32211122212212010020
41001210033310000
54223101132432
6301053133440
736155011200
oct10144176400
92748785106
101100020992
11514a2a064
1226848a280
13146b8a3c5
14a6146400
156688c22c
hex4190fd00

1100020992 has 108 divisors (see below), whose sum is σ = 3405761856. Its totient is φ = 314280960.

The previous prime is 1100020981. The next prime is 1100021003. The reversal of 1100020992 is 2990200011.

It is an interprime number because it is at equal distance from previous prime (1100020981) and next prime (1100021003).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23017 + ... + 52247.

It is an arithmetic number, because the mean of its divisors is an integer number (31534832).

Almost surely, 21100020992 is an apocalyptic number.

1100020992 is a gapful number since it is divisible by the number (12) 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 1100020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702880928).

1100020992 is an abundant number, since it is smaller than the sum of its proper divisors (2305740864).

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

1100020992 is an equidigital number, since it uses as much as digits as its factorization.

1100020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29264 (or 29243 counting only the distinct ones).

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

The square root of 1100020992 is about 33166.5643683514. The cubic root of 1100020992 is about 1032.2866819674.

The spelling of 1100020992 in words is "one billion, one hundred million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 29231 37632 58462 87693 116924 175386 204617 233848 350772 409234 467696 613851 701544 818468 935392 1227702 1403088 1432319 1636936 1870784 2455404 2806176 2864638 3273872 3741568 4296957 4910808 5612352 5729276 6547744 7483136 8593914 9821616 11224704 11458552 13095488 17187828 19643232 22449408 22917104 26190976 34375656 39286464 45834208 52381952 68751312 78572928 91668416 137502624 157145856 183336832 275005248 366673664 550010496 1100020992