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190087680 = 293553467
BaseRepresentation
bin10110101010010…
…00001000000000
3111020200110021110
423111020020000
5342130301210
630510123320
74465501326
oct1325101000
9436613243
10190087680
1198332762
12537b0540
13304c6623
141b361d16
1511a4c420
hexb548200

190087680 has 160 divisors (see below), whose sum is σ = 620478144. Its totient is φ = 49627136.

The previous prime is 190087669. The next prime is 190087687. The reversal of 190087680 is 86780091.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1900876802 = 72266652175564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190087687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406807 + ... + 407273.

Almost surely, 2190087680 is an apocalyptic number.

190087680 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 190087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310239072).

190087680 is an abundant number, since it is smaller than the sum of its proper divisors (430390464).

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

190087680 is an equidigital number, since it uses as much as digits as its factorization.

190087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 190087680 is about 13787.2288731275. The cubic root of 190087680 is about 574.9781264521.

The spelling of 190087680 in words is "one hundred ninety million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 256 265 318 320 384 424 467 480 512 530 636 640 768 795 848 934 960 1060 1272 1280 1401 1536 1590 1696 1868 1920 2120 2335 2544 2560 2802 3180 3392 3736 3840 4240 4670 5088 5604 6360 6784 7005 7472 7680 8480 9340 10176 11208 12720 13568 14010 14944 16960 18680 20352 22416 24751 25440 27136 28020 29888 33920 37360 40704 44832 49502 50880 56040 59776 67840 74253 74720 81408 89664 99004 101760 112080 119552 123755 135680 148506 149440 179328 198008 203520 224160 239104 247510 297012 298880 358656 371265 396016 407040 448320 495020 594024 597760 717312 742530 792032 896640 990040 1188048 1195520 1485060 1584064 1793280 1980080 2376096 2970120 3168128 3586560 3960160 4752192 5940240 6336256 7920320 9504384 11880480 12672512 15840640 19008768 23760960 31681280 38017536 47521920 63362560 95043840 190087680