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2031953900 = 2252173138557
BaseRepresentation
bin111100100011101…
…0010011111101100
312020121110221201212
41321013102133230
513130140011100
6533343453552
7101232215564
oct17107223754
95217427655
102031953900
11952a92049
124885b72b8
13264c847b2
14153c15da4
15bd5c5635
hex791d27ec

2031953900 has 72 divisors (see below), whose sum is σ = 4819441536. Its totient is φ = 740275200.

The previous prime is 2031953897. The next prime is 2031953921. The reversal of 2031953900 is 93591302.

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, 33422 + ... + 71978.

It is an arithmetic number, because the mean of its divisors is an integer number (66936688).

Almost surely, 22031953900 is an apocalyptic number.

2031953900 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 2031953900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409720768).

2031953900 is an abundant number, since it is smaller than the sum of its proper divisors (2787487636).

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

2031953900 is a wasteful number, since it uses less digits than its factorization.

2031953900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38619 (or 38612 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 2031953900 is about 45077.1993362498. The cubic root of 2031953900 is about 1266.5955277068.

The spelling of 2031953900 in words is "two billion, thirty-one million, nine hundred fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 5270 10540 13175 26350 38557 52700 77114 154228 192785 385570 655469 771140 963925 1195267 1310938 1927850 2390534 2621876 3277345 3855700 4781068 5976335 6554690 11952670 13109380 16386725 20319539 23905340 29881675 32773450 40639078 59763350 65546900 81278156 101597695 119526700 203195390 406390780 507988475 1015976950 2031953900