Search a number
-
+
7074044640 = 2532513377887
BaseRepresentation
bin1101001011010010…
…10101101011100000
3200021000001200221100
412211221111223200
5103441423412030
63125541154400
7340205246565
oct64551255340
920230050840
107074044640
113000128493
1214550bba00
1388975c740
144b171286c
152b6093360
hex1a5a55ae0

7074044640 has 144 divisors (see below), whose sum is σ = 25997182848. Its totient is φ = 1741298688.

The previous prime is 7074044639. The next prime is 7074044647. The reversal of 7074044640 is 464404707.

7074044640 is a `hidden beast` number, since 7 + 0 + 7 + 4 + 0 + 4 + 4 + 640 = 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 = 7074044595 and 7074044604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7074044647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170224 + ... + 207663.

It is an arithmetic number, because the mean of its divisors is an integer number (180535992).

Almost surely, 27074044640 is an apocalyptic number.

It is an amenable number.

7074044640 is an abundant number, since it is smaller than the sum of its proper divisors (18923138208).

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

7074044640 is a wasteful number, since it uses less digits than its factorization.

7074044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377921 (or 377910 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7074044640 is about 84107.3399888500. The cubic root of 7074044640 is about 1919.6524110360.

The spelling of 7074044640 in words is "seven billion, seventy-four million, forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 377887 755774 1133661 1511548 1889435 2267322 3023096 3400983 3778870 4534644 4912531 5668305 6046192 6801966 7557740 9069288 9825062 11336610 12092384 13603932 14737593 15115480 17004915 18138576 19650124 22673220 24562655 27207864 29475186 30230960 34009830 36277152 39300248 44212779 45346440 49125310 54415728 58950372 60461920 68019660 73687965 78600496 88425558 90692880 98250620 108831456 117900744 136039320 147375930 157200992 176851116 181385760 196501240 221063895 235801488 272078640 294751860 353702232 393002480 442127790 471602976 544157280 589503720 707404464 786004960 884255580 1179007440 1414808928 1768511160 2358014880 3537022320 7074044640