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2069078400 = 27325271843
BaseRepresentation
bin111101101010011…
…1010000110000000
312100012100001222100
41323110322012000
513214141002100
6541151310400
7102162606354
oct17324720600
95305301870
102069078400
11971a39254
12498b1b400
1326c88255c
14158b1b464
15c19aa400
hex7b53a180

2069078400 has 144 divisors (see below), whose sum is σ = 7383048660. Its totient is φ = 551746560.

The previous prime is 2069078377. The next prime is 2069078411. The reversal of 2069078400 is 48709602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7122 + ... + 64721.

Almost surely, 22069078400 is an apocalyptic number.

2069078400 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 2069078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691524330).

2069078400 is an abundant number, since it is smaller than the sum of its proper divisors (5313970260).

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

2069078400 is a wasteful number, since it uses less digits than its factorization.

2069078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71873 (or 71853 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2069078400 is about 45487.1234526871. The cubic root of 2069078400 is about 1274.2627340827.

The spelling of 2069078400 in words is "two billion, sixty-nine million, seventy-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 71843 143686 215529 287372 359215 431058 574744 646587 718430 862116 1077645 1149488 1293174 1436860 1724232 1796075 2155290 2298976 2586348 2873720 3232935 3448464 3592150 4310580 4597952 5172696 5388225 5747440 6465870 6896928 7184300 8621160 9195904 10345392 10776450 11494880 12931740 13793856 14368600 16164675 17242320 20690784 21552900 22989760 25863480 27587712 28737200 32329350 34484640 41381568 43105800 45979520 51726960 57474400 64658700 68969280 82763136 86211600 103453920 114948800 129317400 137938560 172423200 206907840 229897600 258634800 344846400 413815680 517269600 689692800 1034539200 2069078400