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1204142000 = 24532326177
BaseRepresentation
bin100011111000101…
…1011111110110000
310002220210202021212
41013301123332300
54431230021000
6315252535252
741561016035
oct10761337660
93086722255
101204142000
11568785786
12297321528
13162614879
14b5ccb38c
1570aa7c35
hex47c5bfb0

1204142000 has 80 divisors (see below), whose sum is σ = 3038323392. Its totient is φ = 460697600.

The previous prime is 1204141969. The next prime is 1204142039. The reversal of 1204142000 is 2414021.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32912 + ... + 59088.

Almost surely, 21204142000 is an apocalyptic number.

1204142000 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 1204142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519161696).

1204142000 is an abundant number, since it is smaller than the sum of its proper divisors (1834181392).

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

1204142000 is a wasteful number, since it uses less digits than its factorization.

1204142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26223 (or 26207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1204142000 is about 34700.7492714495. The cubic root of 1204142000 is about 1063.8798128702.

Adding to 1204142000 its reverse (2414021), we get a palindrome (1206556021).

The spelling of 1204142000 in words is "one billion, two hundred four million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 26177 46000 52354 104708 130885 209416 261770 418832 523540 602071 654425 1047080 1204142 1308850 2094160 2408284 2617700 3010355 3272125 4816568 5235400 6020710 6544250 9633136 10470800 12041420 13088500 15051775 24082840 26177000 30103550 48165680 52354000 60207100 75258875 120414200 150517750 240828400 301035500 602071000 1204142000