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1993607040 = 27351038337
BaseRepresentation
bin111011011010100…
…0000011110000000
312010221022201201210
41312311000132000
513040330411130
6525453530120
7100255244265
oct16665003600
95127281653
101993607040
11933380527
124777a3940
1325a049549
1414cab326c
15ba04d5b0
hex76d40780

1993607040 has 64 divisors (see below), whose sum is σ = 6354628560. Its totient is φ = 531628032.

The previous prime is 1993607039. The next prime is 1993607069. The reversal of 1993607040 is 407063991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1993607040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517249 + ... + 521088.

Almost surely, 21993607040 is an apocalyptic number.

1993607040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993607040 is an abundant number, since it is smaller than the sum of its proper divisors (4361021520).

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

1993607040 is a wasteful number, since it uses less digits than its factorization.

1993607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038359 (or 1038347 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 1993607040 is about 44649.8268753643. The cubic root of 1993607040 is about 1258.5771795120.

The spelling of 1993607040 in words is "one billion, nine hundred ninety-three million, six hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1038337 2076674 3115011 4153348 5191685 6230022 8306696 10383370 12460044 15575055 16613392 20766740 24920088 31150110 33226784 41533480 49840176 62300220 66453568 83066960 99680352 124600440 132907136 166133920 199360704 249200880 332267840 398721408 498401760 664535680 996803520 1993607040