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1042215930 = 233571929023
BaseRepresentation
bin111110000111101…
…111001111111010
32200122010001111000
4332013233033322
54113301402210
6251230145430
734553455260
oct7607571772
92618101430
101042215930
11495338288
12251052276
13137bcb522
149c5ba430
156176eac0
hex3e1ef3fa

1042215930 has 128 divisors (see below), whose sum is σ = 3343564800. Its totient is φ = 225675072.

The previous prime is 1042215907. The next prime is 1042215931. The reversal of 1042215930 is 395122401.

1042215930 is a `hidden beast` number, since 10 + 42 + 21 + 593 + 0 = 666.

1042215930 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1042215894 and 1042215903.

It is not an unprimeable number, because it can be changed into a prime (1042215931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21399 + ... + 50421.

It is an arithmetic number, because the mean of its divisors is an integer number (26121600).

Almost surely, 21042215930 is an apocalyptic number.

1042215930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042215930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671782400).

1042215930 is an abundant number, since it is smaller than the sum of its proper divisors (2301348870).

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

1042215930 is a wasteful number, since it uses less digits than its factorization.

1042215930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29065 (or 29059 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1042215930 is about 32283.3692479580. The cubic root of 1042215930 is about 1013.8784735840.

The spelling of 1042215930 in words is "one billion, forty-two million, two hundred fifteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11970 17955 29023 35910 58046 87069 145115 174138 203161 261207 290230 406322 435345 522414 551437 609483 783621 870690 1015805 1102874 1218966 1306035 1567242 1654311 1828449 2031610 2612070 2757185 3047415 3308622 3656898 3860059 3918105 4962933 5485347 5514370 6094830 7720118 7836210 8271555 9142245 9925866 10970694 11580177 14888799 16543110 18284490 19300295 23160354 24814665 27426735 29777598 34740531 38600590 49629330 54853470 57900885 69481062 74443995 104221593 115801770 148887990 173702655 208443186 347405310 521107965 1042215930