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2053502000 = 245311313011
BaseRepresentation
bin111101001100101…
…1111010000110000
312022010000201011122
41322121133100300
513201144031000
6535433401412
7101613323204
oct17231372060
95263021148
102053502000
1196416a4a0
12493869268
1326958a754
14156a24b04
15c0430085
hex7a65f430

2053502000 has 160 divisors (see below), whose sum is σ = 5593356288. Its totient is φ = 722400000.

The previous prime is 2053501997. The next prime is 2053502069. The reversal of 2053502000 is 2053502.

It is a self number, because there is not a number n which added to its sum of digits gives 2053502000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680495 + ... + 683505.

Almost surely, 22053502000 is an apocalyptic number.

2053502000 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 2053502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796678144).

2053502000 is an abundant number, since it is smaller than the sum of its proper divisors (3539854288).

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

2053502000 is a wasteful number, since it uses less digits than its factorization.

2053502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 2053502000 is about 45315.5823089586. The cubic root of 2053502000 is about 1271.0570487337.

Adding to 2053502000 its reverse (2053502), we get a palindrome (2055555502).

2053502000 divided by its reverse (2053502) gives a cube (1000 = 103).

The spelling of 2053502000 in words is "two billion, fifty-three million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3011 3100 3410 3875 4400 5456 5500 6022 6200 6820 7750 8525 11000 12044 12400 13640 15055 15500 17050 22000 24088 27280 30110 31000 33121 34100 42625 48176 60220 62000 66242 68200 75275 85250 93341 120440 132484 136400 150550 165605 170500 186682 240880 264968 301100 331210 341000 373364 376375 466705 529936 602200 662420 682000 746728 752750 828025 933410 1026751 1204400 1324840 1493456 1505500 1656050 1866820 2053502 2333525 2649680 3011000 3312100 3733640 4107004 4140125 4667050 5133755 6022000 6624200 7467280 8214008 8280250 9334100 10267510 11667625 13248400 16428016 16560500 18668200 20535020 23335250 25668775 33121000 37336400 41070040 46670500 51337550 66242000 82140080 93341000 102675100 128343875 186682000 205350200 256687750 410700400 513375500 1026751000 2053502000