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2070998280 = 233451349169
BaseRepresentation
bin111101101110000…
…1110110100001000
312100022221121120000
41323130032310020
513220133421110
6541300403000
7102215123601
oct17334166410
95308847500
102070998280
1197302a72a
124996a6460
132700a5390
1415909ada8
15c1c391c0
hex7b70ed08

2070998280 has 160 divisors (see below), whose sum is σ = 7496458200. Its totient is φ = 509773824.

The previous prime is 2070998243. The next prime is 2070998291. The reversal of 2070998280 is 828990702.

It can be written as a sum of positive squares in 4 ways, for example, as 1479633156 + 591365124 = 38466^2 + 24318^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17536 + ... + 66704.

Almost surely, 22070998280 is an apocalyptic number.

2070998280 is a gapful number since it is divisible by the number (20) 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 2070998280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748229100).

2070998280 is an abundant number, since it is smaller than the sum of its proper divisors (5425459920).

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

2070998280 is a wasteful number, since it uses less digits than its factorization.

2070998280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49205 (or 49192 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2070998280 is about 45508.2221142510. Note that the first 3 decimals coincide. The cubic root of 2070998280 is about 1274.6567380434.

The spelling of 2070998280 in words is "two billion, seventy million, nine hundred ninety-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 49169 98338 147507 196676 245845 295014 393352 442521 491690 590028 639197 737535 885042 983380 1180056 1278394 1327563 1475070 1770084 1917591 1966760 2212605 2556788 2655126 2950140 3195985 3540168 3835182 3982689 4425210 5113576 5310252 5752773 5900280 6391970 6637815 7670364 7965378 8850420 9587955 10620504 11505546 12783940 13275630 15340728 15930756 17258319 17700840 19175910 19913445 23011092 25567880 26551260 28763865 31861512 34516638 38351820 39826890 46022184 51774957 53102520 57527730 69033276 76703640 79653780 86291595 103549914 115055460 138066552 159307560 172583190 207099828 230110920 258874785 345166380 414199656 517749570 690332760 1035499140 2070998280