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2070748240 = 2451117971427
BaseRepresentation
bin111101101101101…
…0001110001010000
312100022110220120021
41323123101301100
513220102420430
6541251153224
7102213032611
oct17333216120
95308426507
102070748240
11972979890
124995a5814
13270018622
14159033c08
15c1bda07a
hex7b6d1c50

2070748240 has 160 divisors (see below), whose sum is σ = 5622390144. Its totient is φ = 700907520.

The previous prime is 2070748201. The next prime is 2070748241. The reversal of 2070748240 is 428470702.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2070748196 and 2070748205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070748241) 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, 1450407 + ... + 1451833.

Almost surely, 22070748240 is an apocalyptic number.

2070748240 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 2070748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811195072).

2070748240 is an abundant number, since it is smaller than the sum of its proper divisors (3551641904).

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

2070748240 is a wasteful number, since it uses less digits than its factorization.

2070748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 2070748240 is about 45505.4748354525. The cubic root of 2070748240 is about 1274.6054378240.

The spelling of 2070748240 in words is "two billion, seventy million, seven hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 97 110 136 170 176 187 194 220 272 340 374 388 440 485 680 748 776 880 935 970 1067 1360 1427 1496 1552 1649 1870 1940 2134 2854 2992 3298 3740 3880 4268 5335 5708 6596 7135 7480 7760 8245 8536 10670 11416 13192 14270 14960 15697 16490 17072 18139 21340 22832 24259 26384 28540 31394 32980 36278 42680 48518 57080 62788 65960 72556 78485 85360 90695 97036 114160 121295 125576 131920 138419 145112 156970 181390 194072 242590 251152 266849 276838 290224 313940 362780 388144 485180 533698 553676 627880 692095 725560 970360 1067396 1107352 1255760 1334245 1384190 1451120 1522609 1940720 2134792 2214704 2353123 2668490 2768380 3045218 4269584 4706246 5336980 5536760 6090436 7613045 9412492 10673960 11073520 11765615 12180872 15226090 18824984 21347920 23531230 24361744 25884353 30452180 37649968 47062460 51768706 60904360 94124920 103537412 121808720 129421765 188249840 207074824 258843530 414149648 517687060 1035374120 2070748240