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61435380 = 22351039941
BaseRepresentation
bin1110101001011…
…0110111110100
311021121020111110
43222112313310
5111211413010
610032435020
71344122616
oct352266764
9137536443
1061435380
1131751346
12186a8a70
13c9603c6
148232db6
1555d8120
hex3a96df4

61435380 has 48 divisors (see below), whose sum is σ = 173706624. Its totient is φ = 16222080.

The previous prime is 61435373. The next prime is 61435421. The reversal of 61435380 is 8353416.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210 + ... + 11150.

It is an arithmetic number, because the mean of its divisors is an integer number (3618888).

Almost surely, 261435380 is an apocalyptic number.

61435380 is a gapful number since it is divisible by the number (60) 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 61435380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86853312).

61435380 is an abundant number, since it is smaller than the sum of its proper divisors (112271244).

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

61435380 is a wasteful number, since it uses less digits than its factorization.

61435380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10056 (or 10054 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 61435380 is about 7838.0724671312. The cubic root of 61435380 is about 394.5840411070.

Adding to 61435380 its reverse (8353416), we get a palindrome (69788796).

The spelling of 61435380 in words is "sixty-one million, four hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 9941 19882 29823 39764 49705 59646 99410 119292 149115 198820 298230 596460 1023923 2047846 3071769 4095692 5119615 6143538 10239230 12287076 15358845 20478460 30717690 61435380