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1369542240 = 253251186461
BaseRepresentation
bin101000110100001…
…1000111001100000
310112110000221202200
41101220120321200
510301100322430
6343522013200
745636626343
oct12150307140
93473027680
101369542240
116430863a0
123227a7200
1318a976331
14cdc6445a
158037a460
hex51a18e60

1369542240 has 144 divisors (see below), whose sum is σ = 5098491216. Its totient is φ = 332006400.

The previous prime is 1369542233. The next prime is 1369542257. The reversal of 1369542240 is 422459631.

It is a happy number.

1369542240 is a `hidden beast` number, since 1 + 369 + 54 + 2 + 240 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1369542195 and 1369542204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27391 + ... + 59070.

It is an arithmetic number, because the mean of its divisors is an integer number (35406189).

Almost surely, 21369542240 is an apocalyptic number.

1369542240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1369542240 is an abundant number, since it is smaller than the sum of its proper divisors (3728948976).

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

1369542240 is a wasteful number, since it uses less digits than its factorization.

1369542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86493 (or 86482 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1369542240 is about 37007.3268421268. The cubic root of 1369542240 is about 1110.5168277420.

The spelling of 1369542240 in words is "one billion, three hundred sixty-nine million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 86461 172922 259383 345844 432305 518766 691688 778149 864610 951071 1037532 1296915 1383376 1556298 1729220 1902142 2075064 2593830 2766752 2853213 3112596 3458440 3804284 3890745 4150128 4755355 5187660 5706426 6225192 6916880 7608568 7781490 8300256 8559639 9510710 10375320 11412852 12450384 13833760 14266065 15217136 15562980 17119278 19021420 20750640 22825704 24900768 28532130 30434272 31125960 34238556 38042840 41501280 42798195 45651408 57064260 62251920 68477112 76085680 85596390 91302816 114128520 124503840 136954224 152171360 171192780 228257040 273908448 342385560 456514080 684771120 1369542240