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1107446900 = 225274147821
BaseRepresentation
bin100001000000010…
…0100110001110100
32212011212010112212
41002000210301310
54232001300100
6301520232552
736305100110
oct10200446164
92764763485
101107446900
1151914127a
1226aa6b758
1314858a431
14a711a740
1567357635
hex42024c74

1107446900 has 144 divisors (see below), whose sum is σ = 2876815872. Its totient is φ = 362112000.

The previous prime is 1107446881. The next prime is 1107446959. The reversal of 1107446900 is 96447011.

It is a super-2 number, since 2×11074469002 = 2452877272639220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348490 + ... + 1349310.

It is an arithmetic number, because the mean of its divisors is an integer number (19977888).

Almost surely, 21107446900 is an apocalyptic number.

1107446900 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 1107446900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438407936).

1107446900 is an abundant number, since it is smaller than the sum of its proper divisors (1769368972).

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

1107446900 is a wasteful number, since it uses less digits than its factorization.

1107446900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1107446900 is about 33278.3247775485. The cubic root of 1107446900 is about 1034.6043591935.

The spelling of 1107446900 in words is "one billion, one hundred seven million, four hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 47 50 70 82 94 100 140 164 175 188 205 235 287 329 350 410 470 574 658 700 820 821 940 1025 1148 1175 1316 1435 1642 1645 1927 2050 2350 2870 3284 3290 3854 4100 4105 4700 5740 5747 6580 7175 7708 8210 8225 9635 11494 13489 14350 16420 16450 19270 20525 22988 26978 28700 28735 32900 33661 38540 38587 41050 48175 53956 57470 67322 67445 77174 82100 96350 114940 134644 134890 143675 154348 168305 192700 192935 235627 269780 270109 287350 336610 337225 385870 471254 540218 574700 673220 674450 771740 841525 942508 964675 1080436 1178135 1348900 1350545 1582067 1683050 1929350 2356270 2701090 3164134 3366100 3858700 4712540 5402180 5890675 6328268 6752725 7910335 11074469 11781350 13505450 15820670 22148938 23562700 27010900 31641340 39551675 44297876 55372345 79103350 110744690 158206700 221489380 276861725 553723450 1107446900