Search a number
-
+
2069375688 = 233423433229
BaseRepresentation
bin111101101011000…
…0010101011001000
312100012220011210000
41323112002223020
513214230010223
6541201523000
7102165255162
oct17326025310
95305804700
102069375688
11972121646
12499043460
1326c957973
14158b97932
15c1a18543
hex7b582ac8

2069375688 has 160 divisors (see below), whose sum is σ = 6190747200. Its totient is φ = 644257152.

The previous prime is 2069375687. The next prime is 2069375689. The reversal of 2069375688 is 8865739602.

It is a happy number.

2069375688 is a `hidden beast` number, since 206 + 9 + 375 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2069375687) and next prime (2069375689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2069375681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 639258 + ... + 642486.

It is an arithmetic number, because the mean of its divisors is an integer number (38692170).

Almost surely, 22069375688 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 2069375688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095373600).

2069375688 is an abundant number, since it is smaller than the sum of its proper divisors (4121371512).

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

2069375688 is a wasteful number, since it uses less digits than its factorization.

2069375688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2069375688 is about 45490.3911612112. The cubic root of 2069375688 is about 1274.3237604279.

The spelling of 2069375688 in words is "two billion, sixty-nine million, three hundred seventy-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 43 46 54 69 72 81 86 92 108 129 138 162 172 184 207 216 258 276 324 344 387 414 516 552 621 648 774 828 989 1032 1161 1242 1548 1656 1863 1978 2322 2484 2967 3096 3229 3483 3726 3956 4644 4968 5934 6458 6966 7452 7912 8901 9288 9687 11868 12916 13932 14904 17802 19374 23736 25832 26703 27864 29061 35604 38748 53406 58122 71208 74267 77496 80109 87183 106812 116244 138847 148534 160218 174366 213624 222801 232488 261549 277694 297068 320436 348732 416541 445602 523098 555388 594136 640872 668403 697464 833082 891204 1046196 1110776 1249623 1336806 1666164 1782408 2005209 2092392 2499246 2673612 3193481 3332328 3748869 4010418 4998492 5347224 6015627 6386962 7497738 8020836 9580443 9996984 11246607 12031254 12773924 14995476 16041672 19160886 22493214 24062508 25547848 28741329 29990952 38321772 44986428 48125016 57482658 76643544 86223987 89972856 114965316 172447974 229930632 258671961 344895948 517343922 689791896 1034687844 2069375688