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1354947090 = 235717419257
BaseRepresentation
bin101000011000010…
…1101101000010010
310111102120102222120
41100300231220102
510233331301330
6342241115110
745401601030
oct12060555022
93442512876
101354947090
11635917892
12319928a96
13187936053
14cbd45550
157de45c10
hex50c2da12

1354947090 has 128 divisors (see below), whose sum is σ = 4031451648. Its totient is φ = 284344320.

The previous prime is 1354947079. The next prime is 1354947137. The reversal of 1354947090 is 907494531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141742 + ... + 150998.

It is an arithmetic number, because the mean of its divisors is an integer number (31495716).

Almost surely, 21354947090 is an apocalyptic number.

1354947090 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 1354947090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015725824).

1354947090 is an abundant number, since it is smaller than the sum of its proper divisors (2676504558).

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

1354947090 is a wasteful number, since it uses less digits than its factorization.

1354947090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9332.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1354947090 is about 36809.6059473611. The cubic root of 1354947090 is about 1106.5578213259.

The spelling of 1354947090 in words is "one billion, three hundred fifty-four million, nine hundred forty-seven thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 41 42 51 70 82 85 102 105 119 123 170 205 210 238 246 255 287 357 410 510 574 595 615 697 714 861 1190 1230 1394 1435 1722 1785 2091 2870 3485 3570 4182 4305 4879 6970 8610 9257 9758 10455 14637 18514 20910 24395 27771 29274 46285 48790 55542 64799 73185 92570 129598 138855 146370 157369 194397 277710 314738 323995 379537 388794 472107 647990 759074 786845 944214 971985 1101583 1138611 1573690 1897685 1943970 2203166 2277222 2360535 2656759 3304749 3795370 4721070 5313518 5507915 5693055 6452129 6609498 7970277 11015830 11386110 12904258 13283795 15940554 16523745 19356387 26567590 32260645 33047490 38712774 39851385 45164903 64521290 79702770 90329806 96781935 135494709 193563870 225824515 270989418 451649030 677473545 1354947090