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1102396440 = 2335231313049
BaseRepresentation
bin100000110110101…
…0011110000011000
32211211100112121210
41001231103300120
54224203141230
6301220103120
736214133535
oct10155236030
92754315553
101102396440
11516301842
12269234aa0
1314750c6b2
14a65a3d8c
1566baaeb0
hex41b53c18

1102396440 has 128 divisors (see below), whose sum is σ = 3478464000. Its totient is φ = 278952960.

The previous prime is 1102396423. The next prime is 1102396441. The reversal of 1102396440 is 446932011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1102396398 and 1102396407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102396441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360036 + ... + 363084.

It is an arithmetic number, because the mean of its divisors is an integer number (27175500).

Almost surely, 21102396440 is an apocalyptic number.

1102396440 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 1102396440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739232000).

1102396440 is an abundant number, since it is smaller than the sum of its proper divisors (2376067560).

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

1102396440 is a wasteful number, since it uses less digits than its factorization.

1102396440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1102396440 is about 33202.3559405052. The cubic root of 1102396440 is about 1033.0292072971.

The spelling of 1102396440 in words is "one billion, one hundred two million, three hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 131 138 184 230 262 276 345 393 460 524 552 655 690 786 920 1048 1310 1380 1572 1965 2620 2760 3013 3049 3144 3930 5240 6026 6098 7860 9039 9147 12052 12196 15065 15245 15720 18078 18294 24104 24392 30130 30490 36156 36588 45195 45735 60260 60980 70127 72312 73176 90390 91470 120520 121960 140254 180780 182940 210381 280508 350635 361560 365880 399419 420762 561016 701270 798838 841524 1051905 1198257 1402540 1597676 1683048 1997095 2103810 2396514 2805080 3195352 3994190 4207620 4793028 5991285 7988380 8415240 9186637 9586056 11982570 15976760 18373274 23965140 27559911 36746548 45933185 47930280 55119822 73493096 91866370 110239644 137799555 183732740 220479288 275599110 367465480 551198220 1102396440