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742683780 = 2232519397547
BaseRepresentation
bin101100010001000…
…111010010000100
31220202111020121200
4230101013102010
53010111340110
6201410142500
724255464556
oct5421072204
91822436550
10742683780
11351253353
12188881a30
13bab35677
14708c94d6
15453046c0
hex2c447484

742683780 has 144 divisors (see below), whose sum is σ = 2381695680. Its totient is φ = 186810624.

The previous prime is 742683779. The next prime is 742683787. The reversal of 742683780 is 87386247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (742683787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357467 + ... + 1358013.

Almost surely, 2742683780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742683780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190847840).

742683780 is an abundant number, since it is smaller than the sum of its proper divisors (1639011900).

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

742683780 is a wasteful number, since it uses less digits than its factorization.

742683780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 742683780 is about 27252.2252302450. The cubic root of 742683780 is about 905.5963144627.

The spelling of 742683780 in words is "seven hundred forty-two million, six hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 397 547 570 684 794 855 1094 1140 1191 1588 1641 1710 1985 2188 2382 2735 3282 3420 3573 3970 4764 4923 5470 5955 6564 7146 7543 7940 8205 9846 10393 10940 11910 14292 15086 16410 17865 19692 20786 22629 23820 24615 30172 31179 32820 35730 37715 41572 45258 49230 51965 62358 67887 71460 75430 90516 93537 98460 103930 113145 124716 135774 150860 155895 187074 207860 217159 226290 271548 311790 339435 374148 434318 452580 467685 623580 651477 678870 868636 935370 1085795 1302954 1357740 1870740 1954431 2171590 2605908 3257385 3908862 4126021 4343180 6514770 7817724 8252042 9772155 12378063 13029540 16504084 19544310 20630105 24756126 37134189 39088620 41260210 49512252 61890315 74268378 82520420 123780630 148536756 185670945 247561260 371341890 742683780