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1371220900 = 225272234
BaseRepresentation
bin101000110111011…
…0010101110100100
310112120012020110021
41101232302232210
510302013032100
6344022004524
745660120400
oct12156625644
93476166407
101371220900
11644022615
12323276744
1318b11341a
14d0180100
15805aca1a
hex51bb2ba4

1371220900 has 135 divisors (see below), whose sum is σ = 3618687009. Its totient is φ = 449692320.

The previous prime is 1371220783. The next prime is 1371220927. The reversal of 1371220900 is 90221731.

The square root of 1371220900 is 37030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 493639524 + 877581376 = 22218^2 + 29624^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59618289 + ... + 59618311.

Almost surely, 21371220900 is an apocalyptic number.

1371220900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1371220900 is the 37030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1371220900

1371220900 is an abundant number, since it is smaller than the sum of its proper divisors (2247466109).

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

1371220900 is an frugal number, since it uses more digits than its factorization.

1371220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The cubic root of 1371220900 is about 1110.9703659132.

Multiplying 1371220900 by its sum of digits (25), we get a square (34280522500 = 1851502).

1371220900 divided by its sum of digits (25) gives a square (54848836 = 74062).

The spelling of 1371220900 in words is "one billion, three hundred seventy-one million, two hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 529 575 644 700 805 980 1058 1127 1150 1225 1610 2116 2254 2300 2450 2645 3220 3703 4025 4508 4900 5290 5635 7406 8050 10580 11270 12167 13225 14812 16100 18515 22540 24334 25921 26450 28175 37030 48668 51842 52900 56350 60835 74060 85169 92575 103684 112700 121670 129605 170338 185150 243340 259210 279841 304175 340676 370300 425845 518420 559682 596183 608350 648025 851690 1119364 1192366 1216700 1296050 1399205 1703380 1958887 2129225 2384732 2592100 2798410 2980915 3917774 4258450 5596820 5961830 6996025 7835548 8516900 9794435 11923660 13712209 13992050 14904575 19588870 27424418 27984100 29809150 39177740 48972175 54848836 59618300 68561045 97944350 137122090 195888700 274244180 342805225 685610450 1371220900