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1378535620 = 2257211413119
BaseRepresentation
bin101001000101010…
…1100100011000100
310120001221212100211
41102022230203010
510310401114440
6344442445204
746106234200
oct12212544304
93501855324
101378535620
11648169240
12325803804
1318c7a4967
14d1125b00
1581054eea
hex522ac8c4

1378535620 has 144 divisors (see below), whose sum is σ = 3764517120. Its totient is φ = 419059200.

The previous prime is 1378535611. The next prime is 1378535687. The reversal of 1378535620 is 265358731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440421 + ... + 443539.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 21378535620 is an apocalyptic number.

1378535620 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 1378535620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

1378535620 is an abundant number, since it is smaller than the sum of its proper divisors (2385981500).

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

1378535620 is a wasteful number, since it uses less digits than its factorization.

1378535620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 1378535620 is about 37128.6361182309. The cubic root of 1378535620 is about 1112.9423384286.

The spelling of 1378535620 in words is "one billion, three hundred seventy-eight million, five hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 49 55 70 77 82 98 110 140 154 164 196 205 220 245 287 308 385 410 451 490 539 574 770 820 902 980 1078 1148 1435 1540 1804 2009 2156 2255 2695 2870 3119 3157 4018 4510 5390 5740 6238 6314 8036 9020 10045 10780 12476 12628 15595 15785 20090 21833 22099 31190 31570 34309 40180 43666 44198 62380 63140 68618 87332 88396 109165 110495 127879 137236 152831 171545 218330 220990 240163 255758 305662 343090 436660 441980 480326 511516 611324 639395 686180 764155 895153 960652 1200815 1278790 1406669 1528310 1681141 1790306 2401630 2557580 2813338 3056620 3362282 3580612 4475765 4803260 5626676 6266071 6724564 7033345 8405705 8951530 9846683 12532142 14066690 16811410 17903060 19693366 25064284 28133380 31330355 33622820 39386732 49233415 62660710 68926781 98466830 125321420 137853562 196933660 275707124 344633905 689267810 1378535620