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1274401020 = 2235236115139
BaseRepresentation
bin100101111110101…
…1101000011111100
310021211000021112210
41023331131003330
510102221313040
6330242500420
743403141604
oct11375350374
93254007483
101274401020
115a4403392
122b6964710
13174044259
14c1379c04
1576d35480
hex4bf5d0fc

1274401020 has 96 divisors (see below), whose sum is σ = 3784757760. Its totient is φ = 319714560.

The previous prime is 1274401013. The next prime is 1274401031. The reversal of 1274401020 is 201044721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76611 + ... + 91749.

It is an arithmetic number, because the mean of its divisors is an integer number (39424560).

Almost surely, 21274401020 is an apocalyptic number.

1274401020 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 1274401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892378880).

1274401020 is an abundant number, since it is smaller than the sum of its proper divisors (2510356740).

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

1274401020 is a wasteful number, since it uses less digits than its factorization.

1274401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235 (or 15233 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1274401020 is about 35698.7537597603. The cubic root of 1274401020 is about 1084.1816108438.

Adding to 1274401020 its reverse (201044721), we get a palindrome (1475445741).

The spelling of 1274401020 in words is "one billion, two hundred seventy-four million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 61 69 92 115 122 138 183 230 244 276 305 345 366 460 610 690 732 915 1220 1380 1403 1830 2806 3660 4209 5612 7015 8418 14030 15139 16836 21045 28060 30278 42090 45417 60556 75695 84180 90834 151390 181668 227085 302780 348197 454170 696394 908340 923479 1044591 1392788 1740985 1846958 2089182 2770437 3481970 3693916 4178364 4617395 5222955 5540874 6963940 9234790 10445910 11081748 13852185 18469580 20891820 21240017 27704370 42480034 55408740 63720051 84960068 106200085 127440102 212400170 254880204 318600255 424800340 637200510 1274401020