Search a number
-
+
1697541090 = 2357311072437
BaseRepresentation
bin110010100101110…
…0110101111100010
311101022020000121020
41211023212233202
511434032303330
6440240110310
760031601250
oct14513465742
94338200536
101697541090
117a1243823
123b4605396
132108c82ab
141216455d0
159e06a210
hex652e6be2

1697541090 has 128 divisors (see below), whose sum is σ = 4853219328. Its totient is φ = 371831040.

The previous prime is 1697541089. The next prime is 1697541091. The reversal of 1697541090 is 901457961.

It is an interprime number because it is at equal distance from previous prime (1697541089) and next prime (1697541091).

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

It is not an unprimeable number, because it can be changed into a prime (1697541091) by changing a digit.

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, 695352 + ... + 697788.

It is an arithmetic number, because the mean of its divisors is an integer number (37915776).

Almost surely, 21697541090 is an apocalyptic number.

1697541090 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 1697541090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426609664).

1697541090 is an abundant number, since it is smaller than the sum of its proper divisors (3155678238).

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

1697541090 is a wasteful number, since it uses less digits than its factorization.

1697541090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 1697541090 is about 41201.2268021233. The cubic root of 1697541090 is about 1192.9074892191.

The spelling of 1697541090 in words is "one billion, six hundred ninety-seven million, five hundred forty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 107 155 186 210 214 217 310 321 434 465 535 642 651 749 930 1070 1085 1302 1498 1605 2170 2247 2437 3210 3255 3317 3745 4494 4874 6510 6634 7311 7490 9951 11235 12185 14622 16585 17059 19902 22470 23219 24370 33170 34118 36555 46438 49755 51177 69657 73110 75547 85295 99510 102354 116095 139314 151094 170590 226641 232190 255885 260759 348285 377735 453282 511770 521518 528829 696570 755470 782277 1057658 1133205 1303795 1564554 1586487 1825313 2266410 2607590 2644145 3172974 3650626 3911385 5288290 5475939 7822770 7932435 8083529 9126565 10951878 15864870 16167058 18253130 24250587 27379695 40417645 48501174 54759390 56584703 80835290 113169406 121252935 169754109 242505870 282923515 339508218 565847030 848770545 1697541090