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2073405840 = 2435112334147
BaseRepresentation
bin111101110010101…
…1010100110010000
312100111110221002220
41323211122212100
513221242441330
6541424141040
7102244441662
oct17345324620
95314427086
102073405840
11974424550
1249a467780
1327073917c
14159526532
15c2062710
hex7b95a990

2073405840 has 160 divisors (see below), whose sum is σ = 7316960256. Its totient is φ = 480775680.

The previous prime is 2073405811. The next prime is 2073405847. The reversal of 2073405840 is 485043702.

It is a super-2 number, since 2×20734058402 = 8598023554692211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2073405847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43647 + ... + 77793.

Almost surely, 22073405840 is an apocalyptic number.

2073405840 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 2073405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658480128).

2073405840 is an abundant number, since it is smaller than the sum of its proper divisors (5243554416).

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

2073405840 is a wasteful number, since it uses less digits than its factorization.

2073405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34197 (or 34191 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2073405840 is about 45534.6663543283. Note that the first 3 decimals coincide. The cubic root of 2073405840 is about 1275.1504812777.

The spelling of 2073405840 in words is "two billion, seventy-three million, four hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 20240 30360 34147 60720 68294 102441 136588 170735 204882 273176 341470 375617 409764 512205 546352 682940 751234 785381 819528 1024410 1126851 1365880 1502468 1570762 1639056 1878085 2048820 2253702 2356143 2731760 3004936 3141524 3756170 3926905 4097640 4507404 4712286 5634255 6009872 6283048 7512340 7853810 8195280 8639191 9014808 9424572 11268510 11780715 12566096 15024680 15707620 17278382 18029616 18849144 22537020 23561430 25917573 30049360 31415240 34556764 37698288 43195955 45074040 47122860 51835146 62830480 69113528 86391910 90148080 94245720 103670292 129587865 138227056 172783820 188491440 207340584 259175730 345567640 414681168 518351460 691135280 1036702920 2073405840