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1540703970 = 2335132631669
BaseRepresentation
bin101101111010101…
…0100011011100010
310222101002212112000
41123311110123202
511123410011340
6412514344430
753115524211
oct13365243342
93871085460
101540703970
11720761773
1236bb8b116
131b7274370
1410889b078
15903d9d30
hex5bd546e2

1540703970 has 128 divisors (see below), whose sum is σ = 4444070400. Its totient is φ = 377581824.

The previous prime is 1540703963. The next prime is 1540703981. The reversal of 1540703970 is 793070451.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922296 + ... + 923964.

It is an arithmetic number, because the mean of its divisors is an integer number (34719300).

Almost surely, 21540703970 is an apocalyptic number.

1540703970 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 1540703970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222035200).

1540703970 is an abundant number, since it is smaller than the sum of its proper divisors (2903366430).

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

1540703970 is a wasteful number, since it uses less digits than its factorization.

1540703970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1540703970 is about 39251.8021242337. The cubic root of 1540703970 is about 1154.9762855647.

The spelling of 1540703970 in words is "one billion, five hundred forty million, seven hundred three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 263 270 351 390 526 585 702 789 1170 1315 1578 1669 1755 2367 2630 3338 3419 3510 3945 4734 5007 6838 7101 7890 8345 10014 10257 11835 14202 15021 16690 17095 20514 21697 23670 25035 30042 30771 34190 35505 43394 45063 50070 51285 61542 65091 71010 75105 90126 92313 102570 108485 130182 150210 153855 184626 195273 216970 225315 307710 325455 390546 438947 450630 461565 585819 650910 877894 923130 976365 1171638 1316841 1952730 2194735 2633682 2929095 3950523 4389470 5706311 5858190 6584205 7901046 11412622 11851569 13168410 17118933 19752615 23703138 28531555 34237866 39505230 51356799 57063110 59257845 85594665 102713598 118515690 154070397 171189330 256783995 308140794 513567990 770351985 1540703970