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420652632 = 23347834493
BaseRepresentation
bin11001000100101…
…010011001011000
31002022112100221010
4121010222121120
51330141341012
6105424013520
713265326341
oct3104523130
91068470833
10420652632
111a64a1604
12b8a612a0
13691c2aaa
143dc1d0c8
1526de2c3c
hex1912a658

420652632 has 64 divisors (see below), whose sum is σ = 1087188480. Its totient is φ = 135550592.

The previous prime is 420652601. The next prime is 420652649. The reversal of 420652632 is 236256024.

It is a self number, because there is not a number n which added to its sum of digits gives 420652632.

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, 91378 + ... + 95870.

It is an arithmetic number, because the mean of its divisors is an integer number (16987320).

Almost surely, 2420652632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420652632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543594240).

420652632 is an abundant number, since it is smaller than the sum of its proper divisors (666535848).

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

420652632 is a wasteful number, since it uses less digits than its factorization.

420652632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 420652632 is about 20509.8179416591. The cubic root of 420652632 is about 749.2749330409.

The spelling of 420652632 in words is "four hundred twenty million, six hundred fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 996 1128 1992 3901 4493 7802 8986 11703 13479 15604 17972 23406 26958 31208 35944 46812 53916 93624 107832 211171 372919 422342 633513 745838 844684 1118757 1267026 1491676 1689368 2237514 2534052 2983352 4475028 5068104 8950056 17527193 35054386 52581579 70108772 105163158 140217544 210326316 420652632