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30778020 = 223257131879
BaseRepresentation
bin111010101101…
…0001010100100
32010220200111200
41311122022210
530334344040
63015402500
7522415560
oct165321244
963820450
1030778020
1116411a89
12a383430
1364b8160
1441326a0
152a7e630
hex1d5a2a4

30778020 has 144 divisors (see below), whose sum is σ = 114965760. Its totient is φ = 6490368.

The previous prime is 30777941. The next prime is 30778021. The reversal of 30778020 is 2087703.

It is not an unprimeable number, because it can be changed into a prime (30778021) 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, 15441 + ... + 17319.

Almost surely, 230778020 is an apocalyptic number.

30778020 is a gapful number since it is divisible by the number (30) 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 30778020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57482880).

30778020 is an abundant number, since it is smaller than the sum of its proper divisors (84187740).

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

30778020 is a wasteful number, since it uses less digits than its factorization.

30778020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 30778020 is about 5547.7941562390. The cubic root of 30778020 is about 313.3864579709.

The spelling of 30778020 in words is "thirty million, seven hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 1879 2340 2730 3276 3758 4095 5460 5637 7516 8190 9395 11274 13153 16380 16911 18790 22548 24427 26306 28185 33822 37580 39459 48854 52612 56370 65765 67644 73281 78918 84555 97708 112740 118377 122135 131530 146562 157836 169110 170989 197295 219843 236754 244270 263060 293124 338220 341978 366405 394590 439686 473508 488540 512967 591885 683956 732810 789180 854945 879372 1025934 1099215 1183770 1465620 1538901 1709890 2051868 2198430 2367540 2564835 3077802 3419780 4396860 5129670 6155604 7694505 10259340 15389010 30778020