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1092199140 = 223454315679
BaseRepresentation
bin100000100011001…
…1010001011100100
32211010011110120000
41001012122023210
54214100333030
6300213341300
736031353024
oct10106321344
92733143500
101092199140
1151057741a
12265937830
1314537c0a6
14a50aba84
1565d44860
hex4119a2e4

1092199140 has 120 divisors (see below), whose sum is σ = 3506173440. Its totient is φ = 284461632.

The previous prime is 1092199133. The next prime is 1092199151. The reversal of 1092199140 is 419912901.

It is a super-2 number, since 2×10921991402 = 2385797922833479200, 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 = 1092199095 and 1092199104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61821 + ... + 77499.

It is an arithmetic number, because the mean of its divisors is an integer number (29218112).

Almost surely, 21092199140 is an apocalyptic number.

1092199140 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 1092199140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753086720).

1092199140 is an abundant number, since it is smaller than the sum of its proper divisors (2413974300).

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

1092199140 is a wasteful number, since it uses less digits than its factorization.

1092199140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15743 (or 15732 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1092199140 is about 33048.4362716302. The cubic root of 1092199140 is about 1029.8341203946.

The spelling of 1092199140 in words is "one billion, ninety-two million, one hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 774 810 860 1161 1290 1548 1620 1935 2322 2580 3483 3870 4644 5805 6966 7740 11610 13932 15679 17415 23220 31358 34830 47037 62716 69660 78395 94074 141111 156790 188148 235185 282222 313580 423333 470370 564444 674197 705555 846666 940740 1269999 1348394 1411110 1693332 2022591 2116665 2539998 2696788 2822220 3370985 4045182 4233330 5079996 6067773 6349995 6741970 8090364 8466660 10112955 12135546 12699990 13483940 18203319 20225910 24271092 25399980 30338865 36406638 40451820 54609957 60677730 72813276 91016595 109219914 121355460 182033190 218439828 273049785 364066380 546099570 1092199140