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213151040 = 2653121487
BaseRepresentation
bin11001011010001…
…10110101000000
3112212002012020222
430231012311000
5414031313130
633052322212
75165516414
oct1455066500
9485065228
10213151040
11aa355593
125b473368
133521019b
1420446d44
1513aa5ce5
hexcb46d40

213151040 has 56 divisors (see below), whose sum is σ = 523963392. Its totient is φ = 82506240.

The previous prime is 213151033. The next prime is 213151067. The reversal of 213151040 is 40151312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824 + ... + 20663.

Almost surely, 2213151040 is an apocalyptic number.

213151040 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 213151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261981696).

213151040 is an abundant number, since it is smaller than the sum of its proper divisors (310812352).

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

213151040 is a wasteful number, since it uses less digits than its factorization.

213151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21535 (or 21525 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 213151040 is about 14599.6931474603. The cubic root of 213151040 is about 597.3503905808.

The spelling of 213151040 in words is "two hundred thirteen million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 21487 42974 85948 107435 171896 214870 343792 429740 666097 687584 859480 1332194 1375168 1718960 2664388 3330485 3437920 5328776 6660970 6875840 10657552 13321940 21315104 26643880 42630208 53287760 106575520 213151040