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1242004920 = 2335131941903
BaseRepresentation
bin100101000000111…
…0111110110111000
310012120001101110020
41022001313312320
510020423124140
6323124250440
742530603412
oct11201676670
93176041406
101242004920
11588096752
122a7b40a20
1316a410770
14bad459b2
15740866d0
hex4a077db8

1242004920 has 128 divisors (see below), whose sum is σ = 4223923200. Its totient is φ = 289626624.

The previous prime is 1242004913. The next prime is 1242004927. The reversal of 1242004920 is 294002421.

1242004920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1242004913) and next prime (1242004927).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242004927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8689 + ... + 50591.

It is an arithmetic number, because the mean of its divisors is an integer number (32999400).

Almost surely, 21242004920 is an apocalyptic number.

1242004920 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 1242004920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111961600).

1242004920 is an abundant number, since it is smaller than the sum of its proper divisors (2981918280).

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

1242004920 is a wasteful number, since it uses less digits than its factorization.

1242004920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41949 (or 41945 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1242004920 is about 35242.0901763786. The cubic root of 1242004920 is about 1074.9157806745.

The spelling of 1242004920 in words is "one billion, two hundred forty-two million, four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 41903 83806 125709 167612 209515 251418 335224 419030 502836 544739 628545 796157 838060 1005672 1089478 1257090 1592314 1634217 1676120 2178956 2388471 2514180 2723695 3184628 3268434 3980785 4357912 4776942 5028360 5447390 6369256 6536868 7961570 8171085 9553884 10350041 10894780 11942355 13073736 15923140 16342170 19107768 20700082 21789560 23884710 31050123 31846280 32684340 41400164 47769420 51750205 62100246 65368680 82800328 95538840 103500410 124200492 155250615 207000820 248400984 310501230 414001640 621002460 1242004920