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1047219200 = 21052192153
BaseRepresentation
bin111110011010110…
…100110000000000
32200222112020200022
4332122310300000
54121042003300
6251525313012
734644134126
oct7632646000
92628466608
101047219200
11498145315
12252865768
13138c60941
149d11d916
1561e0c285
hex3e6b4c00

1047219200 has 132 divisors (see below), whose sum is σ = 2733727560. Its totient is φ = 396656640.

The previous prime is 1047219191. The next prime is 1047219223. The reversal of 1047219200 is 29127401.

It is a self number, because there is not a number n which added to its sum of digits gives 1047219200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 485324 + ... + 487476.

Almost surely, 21047219200 is an apocalyptic number.

1047219200 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 1047219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366863780).

1047219200 is an abundant number, since it is smaller than the sum of its proper divisors (1686508360).

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

1047219200 is a wasteful number, since it uses less digits than its factorization.

1047219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1047219200 is about 32360.7663691699. The cubic root of 1047219200 is about 1015.4982952942.

The spelling of 1047219200 in words is "one billion, forty-seven million, two hundred nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 512 608 640 760 800 950 1024 1216 1280 1520 1600 1900 2153 2432 2560 3040 3200 3800 4306 4864 5120 6080 6400 7600 8612 9728 10765 12160 12800 15200 17224 19456 21530 24320 25600 30400 34448 40907 43060 48640 53825 60800 68896 81814 86120 97280 107650 121600 137792 163628 172240 204535 215300 243200 275584 327256 344480 409070 430600 486400 551168 654512 688960 818140 861200 1022675 1102336 1309024 1377920 1636280 1722400 2045350 2204672 2618048 2755840 3272560 3444800 4090700 5236096 5511680 6545120 6889600 8181400 10472192 11023360 13090240 13779200 16362800 20944384 26180480 27558400 32725600 41888768 52360960 55116800 65451200 104721920 130902400 209443840 261804800 523609600 1047219200