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1332270940 = 2257111325119
BaseRepresentation
bin100111101101000…
…1101011101011100
310102211220101011011
41033122031131130
510212030132230
6340111105004
745005054560
oct11732153534
93384811134
101332270940
11624039970
12312212164
13183026800
14c8d216a0
157be66e2a
hex4f68d75c

1332270940 has 144 divisors (see below), whose sum is σ = 3777822720. Its totient is φ = 383235840.

The previous prime is 1332270889. The next prime is 1332270941. The reversal of 1332270940 is 490722331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332270941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257701 + ... + 262819.

It is an arithmetic number, because the mean of its divisors is an integer number (26234880).

Almost surely, 21332270940 is an apocalyptic number.

1332270940 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 1332270940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888911360).

1332270940 is an abundant number, since it is smaller than the sum of its proper divisors (2445551780).

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

1332270940 is a wasteful number, since it uses less digits than its factorization.

1332270940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1332270940 is about 36500.2868481879. The cubic root of 1332270940 is about 1100.3500098304.

It can be divided in two parts, 1332 and 270940, that added together give a palindrome (272272).

The spelling of 1332270940 in words is "one billion, three hundred thirty-two million, two hundred seventy thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5119 5915 7436 9295 10010 10238 11830 13013 18590 20020 20476 23660 25595 26026 35833 37180 51190 52052 56309 65065 66547 71666 102380 112618 130130 133094 143332 179165 225236 260260 266188 281545 332735 358330 394163 465829 563090 665470 716660 732017 788326 865111 931658 1126180 1330940 1464034 1576652 1730222 1863316 1970815 2329145 2928068 3460444 3660085 3941630 4325555 4658290 5124119 6055777 7320170 7883260 8651110 9316580 9516221 10248238 12111554 14640340 17302220 19032442 20496476 24223108 25620595 30278885 38064884 47581105 51241190 60557770 66613547 95162210 102482380 121115540 133227094 190324420 266454188 333067735 666135470 1332270940